Mathematics High School

6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150

feet above sea level, find the distance from the boat to the base of the lighthouse.

Answers

Answer 1

Answer:

321.68feet

Step-by-step explanation:

Given the following

Top of the house above the sea level  = 150feet = opposite

Angle of elevation = 25°

Required

Distance from the boat to the base of the house(adjacent)

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 25 = 150/d

d = 150/tan25

d = 150/0.4663

d = 321.68

Hence the required distance is  321.68feet

Related Questions

Jeb and Lori went to a florist to buy flowers. Jeb bought 6 roses and 3 carnations for $20.25. Lori bought 8 roses and 3 carnations for $25.75. Find the price of one rose and the price of one carnation.

Answers

Answer:

rose: $2.75; carnation: $1.25

Step-by-step explanation:

Given the quadratic function 8x2 - 5x + 3 = y, which statement is true?

a. The quadratic is expressed in standard form; a= -8, b=5, and c= -3.

b. The quadratic is expressed in standard form; a=8, b= -5, and c=3.

c. The quadratic is expressed in standard form; a = 8, b=5, and c= -3.

d. The quadratic is not expressed in standard form because the equation is not equal to 0.​

Answers

Answer:

b. The quadratic is expressed in standard form; a=8, b= -5, and c=3.

I’m confused please help me ‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍

Answers

Answer:

A Subtract 6 from 27 then divide by 3

Step-by-step explanation:

3B + 6 = 27

3B = 21

B = 7

so you subtract 6 from 27, then divide by 3

helppppppppppppppppp plzzzzzzzzzzz

Answers

Answer:

6/5

Step-by-step explanation:

If you are looking for the slope of the line it is 6/5 because starting from the origin you rise 6 (go up in this case) and run (go right in this case) 5 from the two points that you were given. The line is also going in an upwards direction so the slope is also positive. If you want to write the slope-intercept form equation you would use the slope intercept formula y=mx+b and plug in your slope (6/5) and your y-intercept, which is just 0 because it is at the origin and you would get y=6/5x or y=6/5x+0.

please helppp!!! will mark brainlyist

Answers

Answer:

x ≈ .1138985869

Step-by-step explanation:

[tex]tangent = \frac{opposite}{adjacent}[/tex]

[tex]tan(\frac{10}{x} ) = 26[/tex]

[tex]tan^{-1}[ tan(\frac{10}{x} )] = tan^{-1}(26)[/tex]

[tex]\frac{10}{x} = tan^{-1}(26)[/tex]

[tex]10 =x[ tan^{-1}(26)][/tex]

[tex]\frac{10}{tan^{-1}(26)} =x[/tex]

x ≈ .1138985869

You start at (0, 2). You move down 4 units. Where do you end?​

Answers

Answer:

(0, -2)

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

Find the distance between the points (6, -2) and (9,4).

Answers

Answer:

75 units

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

answer given by IXL

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is \$100$100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for \$25$25 off the repair cost and the other coupon is for 20\%20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20\%20% off the repair cost coupon first. She then uses the \$25$25 off the repair cost coupon on the remaining balance. Natasha uses the \$25$25 off the repair cost coupon first. She then uses the 20\%20% off the repair cost coupon on the remaining balance.

Answers

send a picture of the question instead okay I don't understand

Answer:

send a pic of it

Step-by-step explanation:

Plz help mee I am stuck

Answers

Answer:

Step-by-step explanation:

The answer is in the problem just figure it out with the numbers and plug it in

6 and 1/3 minus 4 and 1/4

Answers

It is 2.08333333333

please help me I really need help.... the equation I wrote for part A is p=2b​

Answers

Answer:

independent: b

dependent: p

Step-by-step explanation:

p = 2b

To find p, choose values for b, then do the calculation.

b is independent. You can choose any value for it.

p is dependent since its value depends on the value you chose for b.

the question is on the photo anyone pls help

Answers

Answer:

3 inches per hour

Step-by-step explanation:

hope this helps

please silve this question fast​

Answers

100 pages a hour

This is a fraction equal to
300 Pages ÷ 3 hours

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3

300 Pages ÷ 3
3 hours ÷ 3
=
100 Pages
1 hour
=
100 Pages
hour
= 100 Pages per hour

221 is 65% of what number


11.25 is 75% of what number

Answers

Answer:

340; 15

Step-by-step explanation:

221 is 65% of 221

11.25 is 75% of 15

x 52° 46° Find the unknown angle measure​

Answers

Answer:

82 degrees

Step-by-step explanation:

It should all equal 180 so 52+46=98 and 180-98 is 82

Please answer (NO SPAMMING) What is the sum of 56.4t + 1650kg? Give your answer in Kg

Answers

Answer:1,706

Step-by-step explanation:

Add

Answer:

58,050,000 grams= 58050kg

Step-by-step explanation:

58059kg is the answer

Evaluate
13- (-9)

need helpp

Answers

Answer:

The answer is 22.

Explanation:

Multiply -1 by -9.

[tex]13 + 9[/tex]

Add 13 + 9.

[tex]22[/tex]

Therefor, the answer is 22.

A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are $7, $8, $8, $12, $13, $15, $17, $18, and $20, which word or phrase best describes this kind of advertising?

accurate
inaccurate
accurate, but misleading
inaccurate and misleading

Answers

A: accurate

Sorry if it’s wrong but if it’s right could I get Brainlyist?

WXYZ is a rhombus. What is m of angle XYZ?​

Answers

Answer:

112

Step-by-step explanation:

8x+10=90

8x=80

x=10

180-90-(3x+4)=90-34=56

56×2=112

X = 3/y
Do x and y show direct variation?
This is the last test of the school year if I fail I may have to go to summer school helppp

Answers

Answer:y varies directly as x if y = kx for some constant, k. In other words, y/x is constant. y varies inversely as x if y = k/x for some constant, k.

Step-by-step explanation:

"What is the GCF (greatest common factor) of 60x^3- 10x^2+ 30x?

Answers

Answer:

10x

Step-by-step explanation:

Given the expression 60x^3- 10x^2+ 30x, we are to find the GCF

First let us find the factors of each terms

60x³ = 6 * (10 * x) * x²

10x² = 1 * (10 * x) * x

30x = 3 * (10 * x)

From the three factors, you can see that 10*x is common to them all. Hence the GCF of the expression will be 10x

Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.​

Answers

Answer: the answer is 20.

Point B is a point of tangency. Find the radius r of OC.

Answers

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = [tex]\frac{576}{36}[/tex]

r = 16 units

Find the y-intercept of the parabola y = x2 + x − 5.

Answers

Answer:

-5

Step-by-step explanation:

12.
The table below shows the budget for the McDougal Family.

Budget Item Amount
Income $3,500
Income Taxes $350
College Savings $315
Retirement Savings $200
Emergency Fund Savings $115
Living Expenses $2,400

What percentage of the total income is the McDougal family saving for college?
12%
8.5%
9%
10.5%

Answers

Answer:

8.5%

Step-by-step explanation:

ramona works in a clothing store where she earns $140 per day plus 14% of her daily sales. she sold $600 in clothing on saturday and $1200 in clothing on sunday

Answers

Answer:

$532

Step-by-step explanation:

($140*2)+(14%*600)+(14%*1200) = $532

Answer:

1424

Step-by-step explanation:

140 + 14%of 600 + 1200 = 1424

Someone please please help help me please please ASAP with my work

And NO LINKS or FILES

Answers

Answer:

1.

Blank 1: y

Blank 2: x

2.

Blank 1: x

Blank 2: y

Step-by-step explanation:

The reflection of a point along y-axis means the y value stays the same and the x-value changes its sign.

Blank 1: y

Blank 2: x

The reflection of a point along x-axis means the x value stays the same and the y-value changes its sign.

Blank 1: x

Blank 2: y

Can anyone please help me on this

Answers

Answer:

67mm

Step-by-step explanation:

Name two lines that are perpendicular

Answers

Answer:

AE and CE or AB and CD

Step-by-step explanation:

for explanation perpandicalar is to form a right angle =90 and its symbol is □

Answer:

A and C.

Step-by-step explanation:

Hi! Whenever you want to find lines that are perpendicular you have to search between them an 90 angle. Hope it helped!

Two magnets will attract one another if

Answers

Answer:

the rule to remember is that opposites attract. every magnet has both a north and a South pole. when you place the North Pole of one magnet near the South Pole of another magnet, they are attracted to one another.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!

Answer:

The magnets have different poles facing each other ( N/S > < S/N )

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Penny Stock is the chairperson of Pirate Recording Company Inc. She is the person responsible for the tremendous growth this company has enjoyed over the past three years. It was Penny's intuition and clever negotiating that enabled the company to sign two very hot recording artists: Half a Dollar and N'elli. These groups have generated profits of over $25 million. The future looks even brighter at the firm because several current and aspiring entertainers have indicated an interest in signing on with Pirate Recording. This incredible growth has delighted everyone at the company, but it has also created a major problem for Penny. Pirate Recording has never been a major player in the recording industry, primarily because of limited capital. In order to take the company to the next level Penny realizes that she will need to expand the firm's personnel and equipment. The amount of new funds required to finance this needed expansion is $150 million. Penny has started to consult with others about how to finance this major expansion of the company. If stock is issued in Pirate Recording, analysts predict that the company has potential for strong growth. The prospects for dividend payments to stockholders, at least in the beginning, are not good. Pirate Recording will need to retain its earnings in order to grow rapidly. The firm's stock would most likely be classified as a(n): 2. Find the missing lengthz 1518 Since celebrities are constantly in the public eye, there is a debate over what their responsibilities as role models should be. many celebrities have stated that they do not believe they should be viewed as role models, while others have argued that it is their responsibility to use their celebrity status to raise awareness for many social issues.In a well-developed essay, explain your position on the responsibility of celebrities to act as role models. Use examples to support your position.Identify this position of the text.Since celebrities are constantly in the public eye, there is a debate over what their responsibilities as role models should be.a. rebuttal/counterargumentb. quotation/statementc. taskPlease select the best answer from the choices provided The solution of y=x-1 and -x+3/2=-y What is the 10th term of this sequence?0.75, 1.5, 3, 6, 12,A)20B)24C)384D)768 INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in? why bleeding kansas played the largest role in starting the civil war? What is historically significant regarding the states that are shaded the darkest red(crimson)? helppp please thank you so much A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers.A 4-column table with 3 rows. The first column has no label with entries students, workers, total. The second column is labeled bus with entries 27, 42, 69. The third column is labeled subway with entries 21, 76, 97. The fourth column is labeled total with entries 48, 118, blank.How many people were polled?4869118166 Write a short story with the following words Society Nuturing EnvironmentLessonImportant Developed Relationship Exert MannersNuclear Variation Marriage Extended Generation Increase Responsibilities Inappropriate behavior Damaging effects Child rearing Common law Which of the following was a series of reform efforts aimed at improving American life in the early 1900s?AprohibitionBthe Gilded Agethe Roaring TwentiesDthe EnlightenmentEthe progressive movement Which is the answer. A B C D? DOES BRAINLY HAVE SBAC ANSWERS PLSSSSSSSS HELP ME ITS URGENT Order from least to greatest (HELP 10 POINTS) Find the difference. Write your answer in standard form.(2x2+3)(3x2+4x5) How are transitional fossils evidence to support the process of natural selection?(1 point)A) They show intermediate steps in the evolution process.B) They show that most species have not changed over long periods of time.C) They show plants and animals that once existed but do not exist now.D) They show that every species of animals developed separately. PLEASE I NEED THE ANSWERS FOR THESE THREE QUESTIONS ASAP Who used great Britains navy and troops in WW2 When finding the area of a quadrilateral, what operation would I use and why?