casey sight the top of an 84 foot tall lighthouse at an angle of elevation of 58. if casey is 6 feet tall how far is he standing from the base of the lighthouse

Answers

Answer 1
Do u have a pic pls that might help
Answer 2
Answer: Casey is standing 52.5 feet from the
lighthouse
Step-by-step explanation:
A right angle triangle is formed. The height of
the lighthouse represents the opposite side
of the right angle triangle. The distance, h
from the lighthouse to where Casey is
standing represents the adjacent side of the
right angle triangle. Casey's line of sight
along the angle of elevation represents the
hypotenuse.
To determine h, we would apply
the tangent trigonometric ratio.
Tan 0, =opposite side/adjacent side.
Therefore,
Tan 58 = 84/h
h = 84/tan 58 = 84/1.6
h= 52.5 feet

Related Questions

Of all rectangles with a perimeter of 12 which one has the maximum area

Answers

The rectangle maximum area will be A=9 square units with the length=3 and the width=3.

What is area of rectangle?

Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.

It is given that the perimeter of rectangle is P=12

So from the formula of perimeter of rectangle

2(L+W)=12

L+W=6

L=6-W

Now the area of rectangle will be

A=LxW

A=(6-W)W

Now for maximum area we will find the derivative and equate to zero.

[tex]A=(6W-W^2})[/tex]

[tex]A'=6-2W=0[/tex]

[tex]W=3[/tex]

[tex]L=6-W=6-3=3[/tex]

So the area will be

[tex]A=3\times 3=9 \ square \ units[/tex]

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.

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Which solid is a triangular prism?​

Answers

Answer:

The green figure, #4

- A grid shows the positions of a subway stop and your house. The subway stop is located at (-3
6), and your house is located at (-7, 2). What is the distance, to the nearest unit, between your
house and the subway stop?
06
09
O 11
O 13

Answers

The distance between your house and the subway stop is 6 units

How to determine the distance?

The coordinates are given as:

Subway = (-3,6)Your house = (-7, 2)

The distance between both points is calculated using:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-7 + 3)^2 + (2 - 6)^2}[/tex]

Evaluate

d = 6 (approximated)

Hence, the distance between your house and the subway stop is 6 units

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What is the value of x?

Answers

Answer: 44

Step-by-step explanation:

How much money would you have if you earned 250 an hour every day?

(Easy Points)

Answers

Answer:

I would have 360000.

Step-by-step explanation:

250 (the amount of money I earned) x 60(as in 60 mins in a hour) and 24(as in 24 hours a day) equals 360000 total.

help me solve this problem please

Answers

Answer:

D. 36.75-3x

Step-by-step explanation:

You have a total amount of 36.75.

Since you are spending money you need to subtract.

We know that Marshall buys 3 tickets.

We also know that 'x represents the amount of a single ticket.

Remember that they are asking you for an algebraic expression and not an equation.

So you need to take away from your total, 36.75. And since you plan on buying three tickets and aren't given the amount x it leaves you with taking 3x from your total 36.75 or an other words

D. 36.75 - 3x

The area of a parallelogram is 31. 5 ft2 and the height is 6. 3 ft. What is the length of the base? 36 ft 24 ft 10 ft 5 ft.

Answers

If the area of a parallelogram is given as with a height of , we can refer back to the equation for the area of a parallelogram: \displaystyle A= b \cdot h, where is height and is the length of the base.

help me, i really need this math question

Consider a triangle like the one below. Suppose that 50 , 30 , 73 and . (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

If there is more than one solution, use the button labeled "or".

Answers

Answer:

A=31.64 B= 18.34 C= 130.20

Step-by-step explanation:

calculating for A using cosine rule

50^2= 30^2+73^2-2×30×73CosA

2500= 900+5329-4380COSA

2500= 6329-4380COSA

2500-6329= -4380COSA

-3729= -4380COSA

COA= -3729/-4380

COSA= 0.8514

A=COS^-1(0.8514)

A= 31.64

calculating B using sinerule

sin 31.64/50= sinB/30

sinB = sin31.64×30/50

sinB = 0.3147

B = 18.34

calculating for C

31.46+18.34+C= 180

C= 180-49.8

C=130.20

What are three ratios equivalent to 12:16

Answers

Answer:

[tex]\dfrac{6}{8}, ~ \dfrac 34, ~\dfrac{24}{32}[/tex]

Step-by-step explanation:

[tex]\dfrac{12}{16} = \dfrac{12 \times \tfrac 12}{16 \times \tfrac 12} = \dfrac{6}8\\\\\\\dfrac{12}{16} = \dfrac{12\times \tfrac 14}{16 \times \tfrac 14} = \dfrac 34\\\\\\\dfrac{12}{16} = \dfrac{12 \times 2}{16 \times 2} = \dfrac{24}{32}[/tex]

»
Which operation should be completed first to find the value of the expression
below?
12 + 30 = (6 - 3) +1

12 + 30
30 : 6
6 - 3
3+1

Answers

The operation that should be completed first to find the value of the expression is 6 - 3

How to determine the first expression?

The equation is given as:

12 + 30 = (6 - 3) +1

By the rule of BODMAS, the first expression that should be evaluated is the expression in the bracket

This means that we solve for 6 - 3, first.

Hence, the operation that should be completed first to find the value of the expression is 6 - 3

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Find the value of x

Thank you anyone helping

Answers

Answer:

x = 112°

Step-by-step explanation:

This figure shown is a pentagon. The total sum of degrees in a pentagon equals to 540° according to the formula (n - 2)180° where n is the number of sides. (5 - 2)180° = 3 × 180° = 540°.

To find x, we need to subtract all the given angles from 540°.

x = 540° - 130° - 118° - 105° - 75° = 112°

Answer:

x = 112°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

105° + 118° + 75° + 130° = 540°

428° + x = 540° ( subtract 428° from both sides )

x = 112°

2. JAVON MAILS 3 PACKAGES. THE FIRST WEIGHS 1.428 POUNDS, THE
SECOND WEIGHS 12, 35 POUNDS, AND THE THIRD WEIGHS 18.3 POUNDS.
WHAT IS THE TOTAL WEIGHT OF THE PACKAGES?

Answers

Answer:

32.078

Step-by-step explanation:

Basically, all you want to do is write it all down on a paper, biggest number to smallest number, then you want to add all the places up, tens, hundreths, and ones. This works with every decimal based question.

1.428+12,35+18.3= 1,251.728

PLS ANSWER ILL GIVE BRAINLIEST TO THE FASTEST ANSWER!!!!!!

Answers

Answer:

2 is right 4 and 7 that's all I know

Step-by-step explanation:

Horst pulled pizza out of the oven and cut it into 4 equivalent pieces. He ate two of them. his sister came in and cut one of the remaining pieces into three smaller, equivalent pieces. She ate two of the small pieces.
A What fraction of the pizza did each of them eat?
B.What fraction of the pizza is left.?

Answers

Answer: Brother ate 1/2, sister ate 1/6

Pizza left 1/3

Step-by-step explanation:

The first person ate ½.

Sister cut ¼÷3 = ¼× ⅓= 1/12

She ate 2/12 = ⅙

Left 1/4 + 1/12 = 4/12 = 1/3

please help me...............

Answers

Answer:

c

Step-by-step explanation:

cuz its from the one neighborhood and not from different and more diverse ones

Answer:

No, he chose only members of a specific part of the population.

Step-by-step explanation: He asked people in his neighborhood when the question asks for people in a certain(assuming his) town.

Find the probability of each event

A jar contains four black buttons and three
brown buttons. If four buttons are picked
at random, what is the probability that all
of them are black?

Answers

The probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

What is probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A jar contains four black buttons and three brown buttons. The total number of buttons is,

[tex]4+3=7[/tex]

The probability of picking a black button in the first attempt is,

[tex]P_1=\dfrac{4}{7}[/tex]

Now, there is total 6 buttons remain in which 3 are black buttons. Thus, the probability of picking black button in second attempt is,

[tex]P_2=\dfrac{3}{6}[/tex]

Similarly, for the third event,

[tex]P_3=\dfrac{2}{5}[/tex]

For the fourth event,

[tex]P_4=\dfrac{1}{4}[/tex]

The probability that all of them are black by the chain rule of probability,

[tex]P=\dfrac{4}{7}\times\dfrac{3}{6}\times\dfrac{2}{5}\times\dfrac{1}{4}\\P=\dfrac{1}{35}[/tex]

Thus, the probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

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please show work if possible

Answers

Step-by-step explanation:

Reflection in y-axis means g(x) = f(-x)

g(x) = - 3x + 7

Jaclyn bought some decorative letters for a scrapbook project. If she selected a permutation of the letters shown, what is the probability that they would form the word “photography”?

Answers

Answer:

1 over 4,989,600 That's the answer yw btw

Find the​ slope-intercept form for the line satisfying the conditions.
Perpendicular to y=-1/2x+6​, passing through the point ​(5​,​-4)

Answers

Answer:

LETS DO THIS!

Step-by-step explanation:

when a line is perpendicular the line is negative and reciprocal.y

y=2x+6

now we substitute.

-4=2(5)+b

-4=10+b

-14=b is your answer

Step-by-step explanation:

Hlew frnd!

To find the slope of the perpendicular line we just take the reciprocal and therefore change the sign of slope,

Perpendicular to y = -½x + 6

Hence, the slope will be = -½ = 2

Now we have to find the slope-intercept form, So

here y intercept is given and the point will be (0,b) then eqs. of line,

=> y = mx + b [slope-intercept form]

=> -4 = 2*5 + b

=> -4 = 10 + b

=> b = -14

Can anyone solve this correctly?

Answers

Answer:

Scale factor of 1/2.

Step-by-step explanation:

Note that the comparison is figure A to figure B'.

The original measurements that are given are the side measurements of 16 & 6. In comparison to the corresponding parts for the other figure, it would be 8 & 3 respectfully.

Find the factor in which they change by multiplying.

16x = 8

6x = 3

Isolate the variable by dividing:

(16x)/16 = (8)/16

x = 8/16 = 1/2

(6x)/6 = (3)/6

x = 3/6 = 1/2

The scale factor is 1/2.

~

6. How many right angles does this shape have?

Answers

Answer:

none

Step-by-step explanation:

This shape has no right angles

There are 0 right angles in this shape

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

9

Step-by-step explanation:

[tex]3 \frac{3}{4} + 5 \frac{1}{4} = 8 \frac{4}{4} = 9[/tex]

[tex]\rule{300}{2}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

      [refer to attachment for question]

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

In order to find out how many miles Peter rode overall, we need to add the number of miles he rode on Monday + the number of miles he rode on Tuesday:-

[tex]\bold{3\dfrac{3}{4}} +\bold{5\dfrac{1}{4}}[/tex]

Since the denominators match, we can just add the numerators and the whole parts:-

[tex]\bold{(3+5)\dfrac{4}{4}}[/tex][tex]\bold{8\dfrac{4}{4}}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\boxed{\bold{9\:Miles}}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Compare and contrast the following two equations. Determine if they are linear equations and explain why or why not.

Answers

Answer:

xy = -1 and y = -1/x are the same.

They are not linear equations because they are not written in the form

Ax + By = C.

35,000 divided by 120

Answers

Answer:

291.666666667

Step-by-step explanation:

Rounds to 291.7

Answer:

35000/120 = 291 and 2/3

Step-by-step explanation:

Solve for x, then choose
the correct graph.
-2x + 5 > 11
(A)
o
-3
-2
o
(B)
-5 -4 -3 -2 1

Answers

Answer:

x=-3 and the graph is A since x>-3

______________ of rational numbers is distributive over addition of rational numbers.

Answers

Answer:

the multiplication of rational numbers is distributive over addition of rational numbers.

48. Amari is observing a woodpecker near the top of a tree,
as shown in the diagram below. What is the measure of
angle x, the angle of elevation, rounded to the nearest
degree?
bird
201
36 n

Answers

Here x is the angle of the elevation and the value of x is 31 degrees.

We have given that,

Amari is observing a woodpecker near the top of a tree,

as shown in the diagram given.

We have to determine,

The measure of angle x, the angle of elevation, is rounded to the nearest degree.

What is the formula for tan theta?

[tex]tan(\theta)=\frac{Opposite \ side}{Hypotenuse}[/tex]

From the diagram,

Opposite side=20ft

Adjacent side=36ft

Use this value of the above formula.

So we get,

[tex]tan(\theta)=\frac{20}{36} \\\\tan(x)=5/9\\\\tan(x)=0.55\\x=tan^{-1}(0.55)\\x=31.51^0[/tex]

Here x is the angle of the elevation and the value of x is 31 degrees.

Therefore the value of x is 31.

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PLEASE HELP!!!!!!!!!

Answers

Answer:

maybe        3

              2

Step-by-step explanation:

A rectangle has a length of 15.8 inches and a width of 11.9 inches. What is the area of the rectangle? Enter your answer as a decimal in the box. in²

Answers

Answer:

Hi, I belive your answer is 188.02

sorry if it is wrong

Here is how to get the answer which is 188.02; 11.9 x 15.8= 188.02in²

and here you go have a splendid day!

Step-by-step explanation:

Answer:

188.02

Step-by-step explanation:

Last year, a professional basketball team
won 60 games. This year the team won 9
fewer games than it won last year. What
is the percent decrease in the number of
games the team won? (7.4D Lesson 2)

Answers

Answer:

15%

Step-by-step explanation:

Take 9 and divide that by 60.

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