1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina [24]
3 years ago
15

A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the

lighthouse.

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

You might be interested in
An equation of a trend line for the scatter plot below is y=42x+50. Predict how many more sales the store makes in December than
Mars2501 [29]

Answer:

42 more sales in December

Step-by-step explanation:

3 0
3 years ago
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to
vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0
3 years ago
At an animal park 2/5 of the animals are felines, and 1/4 of the animals are reptiles. The rest of the animals are aquatic. What
notka56 [123]

Answer:

Felines: 40%

Reptiles: 25%

Aquatic Animals is 35%

Which means the Answer is 35%

(How you do this)

- First, Divide, the Numerator, by the Denominator and multiply it by 100.

3 0
2 years ago
Read 2 more answers
-2. H(x) is the transformation of the parent
elena-s [515]

If the function f(x) is translated 7 units right and 8 units up, then the equation of h(x) is h(x) = (x+7)^2 + 8

The given function is

f(x) = x^2

Here f(x) is translated 7 units right and 8 units up

The translation is the process of changing the coordinates of the shape in the graph

The given function is

f(x) = x^2

First the function is translated 7 units right

Then the function will become

f(x) = (x+7)^2

Then the function is translated 8 units up

Then the function will become

h(x) = (x+7)^2 + 8

Hence, if the function f(x) is translated 7 units right and 8 units up, then the equation of h(x) is h(x) = (x+7)^2 + 8

Learn more about translation here

brainly.com/question/11805053

#SPJ4

6 0
11 months ago
9 over 2 Divided by 4
Tems11 [23]

Answer:

is 1.125 is the answer.

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the perimeter of a square is 3 feet how many inches long is each side
    8·2 answers
  • What is ; 1.5×0.32 pls answer this asap​
    5·2 answers
  • 8. Parallel to the line y = 2x + 5 and contains the
    11·1 answer
  • Can someone help me with question F and provide an explanation?
    6·2 answers
  • Wht is 4/7 + 6/11 on the number line
    10·1 answer
  • Can you guys help?<br> Need to find x, BA, DA
    15·1 answer
  • What’s the initial value?
    9·1 answer
  • Please help me! No links
    9·1 answer
  • Solve 7b = 91<br> Please answer
    8·2 answers
  • A box of 125 packets of artifical sweetener sells for 3.99
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!