When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?

Answers

Answer 1

Answer:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Step-by-step explanation:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller


Related Questions

your parents are trying to decide what company to invest their money in for your college tuition expenses. They are given the annual profit for the last five years of two companies they are interested in

Answers

To make an informed decision about the best place to invest money, there would have to be an evaluation of the best company and their annual profits.

What is a Financial Investment?

This refers to the placing of money or asset with the hope and plan that it would appreciate after a certain period of time.

Hence, we can see that because your question is incomplete, a general overview has to be used, and thus, by the use of financial analysis by checking the annual profit over the last five years, the best choice would emerge.

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cane someone do this please

Answers

The product of the matrices is an identity matrix. Then Both the matrices are multiplicative inverse to each other.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \ and \ \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right][/tex]

Then show that both the matrices are multiplicative inverse to each other.

If the product of the matrices is an identity matrix then the matrices are multiplicative inverse to each other.

Then we have

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right] = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]

Then both the matrices are multiplicative inverse to each other.

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A craft store sells 9 cm of ribbon for $0.72 . Write an equivalent rate that shows the cost of 27 cm of ribbon

Answers

Answer:

$2.16

Step-by-step explanation:

if the store sells 9 cm for $0.72

they are selling 27 cm now which is 3 times the amount of 9

so if 27 is 3 x the amount of cm than we need to triple to amount of the cost to.

and 0.72 x 3 is 2.16.

Please Vote Me Brainliest. Thank You.

If UV = 8x − 12, VW = x + 8, and UW = 2x + 10, what is UW?

Answers

Answer:

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

----> by addition segment postulate

substitute the given values

solve for x

step 2

Find the value of VW

substitute the value of x

Step-by-step explanation:

What is the volume of the rectangular prism?
94.5 yd3
58.0 yd3
25.5 yd3
20.5 yd3

Answers

Answer:

94.5yd³

Step-by-step explanation:

volume = length × width × height

length = 7 yd , width = 4.5 yd and height = 3 yd

so volume = 7 × 4.5 × 3 = 94.5yd³

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(2x+17)°
(2x+5)°

Answers

Step-by-step explanation:

or, x°+(2x+17)°(2x+5)°=180°

or, x°+2x°+17°+2x°+5°=180°

or, 5x°+22°=180°

or, 5x°=180°-22°

or, 5x°=158°

or, x°=158/5

or, x°=31.6

now,

(2x+17)°=2*31.6+17=80.2°

(2x+5)°=2*31.6+5=68.2°

i have no idea what its asking and I'm in connection academy b

Answers

[tex]\bold{ANSWER:}[/tex]
-5,-3,1,7

[tex]\bold{EXPLANATIONS:}[/tex]

a kiddie pool is 10 feet long and 5 feet wide. surrounding each side of the kiddie pool is a cement walkway of uniform width. The combined area of the pool and the walkway is 104 ftsquared. Find the width of the walkway.

Answers

Answer:

1.59 ft.. sort of

Step-by-step explanation:

4th and final attempt:

10 * 5 + 2(10x + 2x) + 2(5x) = 104

50 + 2(12x) + 10x = 104

50 + 24x + 10x = 104

50 + 34x = 104

34x = 104 - 50

34x = 54

x = 54 / 34

x ~= 1.59

Two companies offer river tubing trips.
• The first company charges $7.50 rental fee for the tube and $3.00 an hour.
• The second company charges $10.50 rental fee for the tube and $2.00 an hour.
What is the minimum number of hours a person would need to rent a tube in order for
the second company to be a better deal?

Answers

Minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

What is a mathematical model?

A mathematical model is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

Two companies (first and second) offers river tubing trips and the rates of them are as follows: The first company charges $7.50 rental fee for one tube, with a charge of $3.00 an hour.

For the x hours, the charge of the company is,

7.50+3.00x

The second company charges $10.50 rental fee for one tube with a charge of $2.00 an hour. For the x hours, the charge of the company is,

10.50+2.00x

Let x is the hour at which the cost of both companies are equal. Thus,

7.50+3.00x=10.50+2.00x

3x-2x=10.5-7.5

x=2.5

Thus, the minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

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Need some help, please explain your Answer! Thanks!

Answers

Unit rate

Total built/Total days spent8-1/4÷5-1/233/4÷11/233/4×2/113/21.5miles per day

Answer:

1½ miles/day .

Step-by-step explanation:

To find:-

The rate at which the construction crew built thr road.

Answer:-

It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )

[tex]:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\[/tex]

Convert the mixed fraction into improper fraction.

[tex]:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\[/tex]

For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,

[tex]:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\[/tex]

[tex]:\implies \sf r = \dfrac{3}{2} \ miles/day \\[/tex]

[tex]:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\[/tex]

Hence the unit rate of constructing the road is 1½ miles/day .

Find the quotient 3 6/7 divided by 5/21
Pls explain bc I’m having finals and I need a bit more help with this

Answers

Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

=  27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5        ( as 21/7 = 3)

= 81/5

= 16 1/5.

Systematic random sample
What’s the definition

Answers

Answer: Systematic sampling is a type of probability sampling method where sample members from a larger population are selected based on a random starting point but with a fixed, periodic gap.

Step-by-step explanation:

On a coordinate plane, parallelogram k l m n shown. point k is at (7, 7), point l is at (5, 3), point m is at (1, 1), and point n is at (3, 5). which statement proves that parallelogram klmn is a rhombus? the midpoint of both diagonals is (4, 4). the length of km is startroot 72 endroot and the length of nl is startroot 8 endroot. the slopes of lm and kn are both one-half and nk = ml = startroot 20 endroot. the slope of km is 1 and the slope of nl is –1.

Answers

The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.

What is a Rhombus?

This is a type of quadrilateral that has four sides of which they are all equal.

Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).

We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.

Therefore, The slope of KM is 1 and the slope of NL is –1.

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Answer: D.

Step-by-step explanation: On Edge!!

I need help with this asap (50 Points)

Answers

Answer:

 Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Step-by-step explanation:

1. Juanita is thinking of two positive whole
numbers. The sum of the whole numbers
is 15. How many possible whole number
combinations are there?

Answers

Answer:

i believe its seven combinations

Step-by-step explanation:

To determine whether students
want a new school mascot, Abby
surveys every 25th student from an
alphabetized list of students in the
school. Will the survey results from
this sample support a valid inference?
Explain.

Answers

Using sampling concepts, it is found that the sample would not support a valid inference, as both alphabetized and non-alphabetized students should be sampled.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The school has both alphabetized and non-alphabetized students, and both groups should be sampled for a valid inference to be made. Since only alphabetized students are sampled, the sample would not support a valid inference.

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I would very much like to thank Aklee18oo for everything. this is my last question please see the attachment.​

Answers

Answer:

8mm

Step-by-step explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:

753.6 = [tex]15\pi r^{2}[/tex]

We are told to use 3.14 for pi, so:

[tex]753.6 = 15 * 3.14 * r^{2}[/tex]

[tex]r^{2} = 16[/tex]

[tex]r = 4[/tex]

The diameter is twice the radius, so the diameter is 8mm.

Answer:

8 mm

Step-by-step explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

What is the shortest time it takes it to collect a container of water?

Answers

Answer:

45 minutes

Step-by-step explanation:

The minimum of a box-and-whisker plot is the leftmost endpoint, called the "whisker". This minimum is the smallest value collected in the data.

what is the domain of f(x)=2log _3(4x−8)

Answers

Answer:

{X€ IR : x>2}

Or

[tex]x \in \: )2 \: + \infty ([/tex]

Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old. A. Annual premium b. Semiannual premium

Answers

If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

What is annual premium?

Annual premium can be defined as the premium amount a person pay per year, yearly or annually.

Based on the scenario the whole life is an example of long term insurance.

Reason been that  annual  premium are often used  for long term insurance in which the policy holder is expected to stop paying the premium when he/she reach a certain age that is stated on the policy terms and condition.

Therefore If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

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Answer:

618.25-annual     309.13-semiannual

Step-by-step explanation:

oddesy

helppppppppp asa-pppppppppppppppppp-

Answers

Answer:

I got the mean of A is 6 and the mean of b is 3.5

Step-by-step explanation:

If correct i dont mind brainlest

On a coordinate plane, a line is drawn from point a to point b. point a is at (9, negative 8) and point b is at (negative 6, 7). what are the x- and y- coordinates of point p on the directed line segment from a to b such that p is two-thirds the length of the line segment from a to b? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (2, –1) (4, –3) (–1, 2) (3, –2)

Answers

Using proportions, it is found that the coordinates of p in the line segment are given as follows: (-1,2).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the points are:

Point a(9, -8).Point b(-6, 7).Point p(x, y).

p is two-thirds the length of the line segment from a to b, hence:

[tex]p - a = \frac{2}{3}(b - a)[/tex]

For the x-coordinate, we have that:

[tex]x - 9 = \frac{2}{3}(-6 - 9)[/tex]

x - 9 = -10

x = -1

For the y-coordinate, we have that:

[tex]y + 8 = \frac{2}{3}(7 - (-8))[/tex]

y + 8 = 10

y = 2.

The coordinates of p are (-1,2).

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Answer: (-1,2)

Step-by-step explanation: took the test, got it right!

What is the slope of the line through the points (-2, -1) and (4, 3)? ​

Answers

Ans: 2/3

Step-by-step explanation:

Formula : [tex]m = \frac{y2 - y1}{x2- x1}[/tex]  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

Write the product using exponents.

Answers

An exponent is the number of times something is multiplied by itself

Answer: (1/5)^2 * x^3

Match each mineral property to the correct description. HELP PLS

Answers

lmk if any of these are wrong :)

Answer:

Left Side A → Right Side A

Left Side B → Right Side B

Left Side C → Right Side E

Left Side D → Right Side D

Left Side E → Right Side C

Answer:

The person above me is probably correct on theirs, but failed to realize that its mixed up differently on everyone else’s. Here are the answers-

The Phythagorean Theorem is

Answers

Answer: False

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex]

Answer:

false

Step-by-step explanation:

a2 + b2 = c2

The price went down by 15%, and went 340 money. What was the previous price? ASAPP PLSS

Answers

The previous price given the percentage decrease is 400.

How to find the previous price?

It follows from the task content that the previous price of the commodity is required;

let, x = previous price

New price = 340

Percentage decrease = 15%

Hence, it follows from the given information that;

340 = x - (15% × x)

340 = x - (0.15x)

340 = 0.85x

x = 340/0.85

x = 400

Therefore, the previous price given the percentage decrease is 400.

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Someone can you please help me thank you 12 points

Answers

Answer:

The image isn't quite clear

Find the surface area of a cylinder the has a base radius of 2 feet and the height of 14 feet

Answers

Answer: If I am correct the answer is 201.06ft²

please do correct me if i am wrong.

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²

coles rectangular garden has an area of 54 square feet what could be the dementions of the garden

Answers

Answer:

The garden dimension are 9ft and 6ft

Step-by-step explanation:

As promised, Ive attached my work

There also could be the sizes of

3ft by 18ft

2ft by 27ft

1ft by 54ft

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