The angle of elevation from a boat to the top of a lighthouse is 50°.
If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse?
Round answer to the nearest foot.

Answers

Answer 1

9514 1404 393

Answer:

  179 ft

Step-by-step explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent.

The height of the lighthouse is the opposite side of the right triangle. The adjacent side to the angle of elevation from the boat is the distance to the lighthouse base. Then ...

  tan(50°) = height/(150 ft)

  height = (150 ft)(tan(50°)) ≈ 178.76 ft

The height of the lighthouse is about 179 feet.


Related Questions

1/3x = 5 - 1/3x what is the solution of this equation?

Answers

Answer: 15/2 aka 7.5

2x - 15 = 0    x = 15/2 aka 7.5

Hope this helps!

-zomba

 

                 

Denise makes three times as many chocolate cupcakes as vanilla. She makes three dozen strawberry cupcakes. Total cupcakes are 132, how many are chocolate?

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Answer:

55

Step-by-step explanation:

Plz, help if you are an expert at math. his lesson is called "Equations with variables on both sides" thanks

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Answer:

solve the equation by multiplying and arranging.

Step-by-step explanation:

I didn't saw the question properly but I think it's the right question.

y = x3 + x2 − 4x − 16

Answers

Answer:

use photo math

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

 DIFFERENTIATE W.R.T. X

3x 2  +2x−4

 

EVALUATE

x  3  +x  2  −4x−16

 

 

 

 

 

 

EVALUATE

x  

3

+x  

2

−4x−16

what is the midpoint between (1,5) and (7,-3)​

Answers

Answer:

(4,1)

Step-by-step explanation:

[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]

               [tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]

the answer for this problem would be 4,1

49.8751 correct to 4 significant figures

Answers

Step-by-step explanation:

[tex]49.8751 = 49.88[/tex]

Answer:

49.88

i think this is it

(PLEASE HELP FAST)
Three loafs of bread require 4 1/3 cups of flour. How much flour is needed for 2 loafs of bread?

Answers

Answer:

2 1/6

Step-by-step explanation:

4 1/3 divided by 2 =

13/3 x 1/2 = 13/6 = 2 1/6

hope this helped

Answer:

2 8/9 cups of flour

Step-by-step explanation:

13/3 = flour needed for 3 loaves of bread

13/3 divided by 3 should get you the unit rate

13/3 * 1/3 = 13/9

13/9 is the unit rate. Then, you can multiply by 2

26/9 or 2 8/9 cups of flour

Help fast please!!!!!!!

Answers

Answer: n=7+1/2

Step-by-step explanation:

We move all terms to the left:

2n+15-(30)=0

We add all the numbers together, and all the variables

2n-15=0

We move all terms containing n to the left, all other terms to the right

2n=15

n=15/2

n=7+1/2

Evaluate the expression when n = 2.3. 5(n − 2) + 9 =

Answers

Answer:n=2.3.5(n-2)+9=n=44.6

can someone help me solve -9y+5y-7y+3y

Answers

Answer:

-8y

Step-by-step explanation:

-9t +5y -7y + 3y

-4y-7y+3y

-11y+3y

-8y

Answer:

-8y

Step-by-step explanation:

-9y + 5y - 7y + 3y

-9y -7y + 5y + 3y

-16y + 8

-8y

-2y+3=22 y-5=3 elimination method

Answers

Answer:

Not possible

Step-by-step explanation:

You cannot do an elimination method because there is no x

A.
B
C
D
Multiple choice (see the picture)
Help plz

Answers

6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144-36

x^2 = 108

It seems most likely it is D.

What is -3/8 ÷ (-1/2)?​

Answers

Answer:

3/4

Step-by-step explanation:

-3/8÷(-1/2)

-3/8÷-1/2

-3/8÷2/-1

-3×2/-8

-6/-8

-(-6/8)

-(-3/4)

3/4

Answer:

3/4

Step-by-step explanation:

my teacher just told me that answer a few seconds ago

i don’t understand.
online school is hard

Answers

Answer: 37

Step-by-step explanation:

12^2 + 35^2 = x

144+ 1225 = x

1369

Take the square root

37

School is hard but don’t give up ;(

This question is 15 points and please help me! Each answer is different. Please put it in order and don't scam this is my last points thanks so much!

Answers

Answer:

What are all the opions

Step-by-step explanation:

Also I think its

1.  communtive, asscotive

2. Disvision Property

3. to the left side ( I think)

Hope this helps and sorry about your points ;-;

PLEASE HELP QUICKLY!!!

Answers

Answer:

sunday

Step-by-step explanation:

i dont want brainliest give it to the other guy

can you help me please?​

Answers

X=10. Have a great day!

What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?
33
37
47
58

Answers

Answer: The answer is 37.

Step-by-step explanation: i took test

The length of the hypotenuse, x is 37.

The correct option is B.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A Pythagorean triple (12, 35, x).

Applying the Pythagoras theorem,

The length of the hypotenuse, x,

x = √(35)² + (12)²

x = √1369

x = 37

Therefore, the value of x is 37.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

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yes or no? please help!!

Answers

Answer:

No it is not

Step-by-step explanation:

One cannot have two outputs

Please mark me brainlest!!

can someone help with my quyestion, its on the image

Answers

Maybe the first option....
First one it’s have to be on the negative 1

1-4.2x + 3y - 9 + 5x + y

how many terms are in this expression

Answers

Answer:

because

Step-by-step explanation:

Answer:
6 terms assuming that 1-4.2x are separate if not it would be 5.

Expanded: This makes this equation a polynomial.

Triangles V U T, U T S, and T X R are connected. Sides V T, U T, T S, and T R are congruent. A farmer is building three triangular pens such that Line segment V T is-congruent-to line segment U T is-congruent-to line segment S T is-congruent-to line segment R T.. If UV > US > SR, which is a true statement?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. m∠UTV > m∠UTS > m∠STR

Step-by-step explanation:

what is the number that is two more than one-tenth of one-fifth of one-tenth of 2,000​

Answers

Answer:

6

Step-by-step explanation:

2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6

The number that is two more than one-tenth of one-fifth of one-tenth of 2,000​ will be 6.

What are the ratio and proportion?

The ratio is the division of two numbers while multiplication is an operation in mathematics to multiply two or more values to get a multiplied number.

Proportion is the relation of a variable with another. It could be direct or inverse.

The one-tenth of x = (1/10)x similarly

one-tenth of one-fifth of one-tenth = (1/10)(1/5)(1/10)

So  one-tenth of one-fifth of one-tenth of 2,000​ =  (1/10)(1/5)(1/10) ×2000

⇒ 2000/500 = 4 Now the question is saying 2 more hence

4 + 2 = 6 hence six will be the correct answer.

For more information about ratio and proportion

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Find the surface area of the prism

Answers

Answer:

Step-by-step explanation:

surface area=2[(12+6)/2×4]+(5+6+5+12)×3

=2[9×4]+28×3

=72+84

=156 in²

Simplify the ratio 40 : 144

Answers

Divide each by 2
40= 20
144= 72
Divide by 2 again
20=10
72=36
Divide by 2 one more time
10=5
36=18
Ans= 5:18

Bentley is working two summer jobs, babysitting and clearing tables. He can work at most 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours clearing tables, cc, that Bentley can work in a given week.

Answers

Answer:

c + b ≤ 12

Step-by-step explanation:

i need help with geometry

Answers

Answer:

x = 119, y =  55

Answer:

x = 119°

y = 55°

Step-by-step explanation:

y + 125 = 180         {linear pair}

       y   = 180 - 125

       y = 55°

Sum of all the angles of quadrilateral = 360

x + 55 + 72 +114 = 360

               x + 241 = 360

                         x = 360 - 241

                        x = 119°

I urgently need help!!!!

Answers

Answer:

A. C (3,5)

Step-by-step explanation:

This makes the most sense because of the position point C is at on the coordinate plane. It is above point D, which has a x-axis of 3. Option A is the only one that has an x-axis of 3.

Hope it helps!

If f(x)=-2x+5, find f(4).*

Answers

Answer: x=-1/2y+5/2

Step-by-step explanation:

Step 1: Flip the equation.

−2x+5=y

Step 2: Add -5 to both sides.

−2x+5+−5=y+−5

−2x=y−5

Step 3: Divide both sides by -2.

−2x/-2=y-5/-2

what's the square root of 25 in **simplest radical form**

Answers

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

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