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]
2 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]2 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
Expand.<br> Your answer should be a polynomial in standard form.<br> (3c + 2)(c^2-6c-4)
evablogger [386]

Answer:

After expanding the polynomial (3c + 2)(c^2-6c-4) we get  3c^3-16c^2-24c-8

Step-by-step explanation:

We need to expand the polynomial (3c + 2)(c^2-6c-4)

Multiply the terms:

(3c + 2)(c^2-6c-4)\\=3c(c^2-6c-4)+2(c^2-6c-4)\\=3c^3-18c^2-12c+2c^2-12c-8\\=3c^3-18c^2+2c^2-12c-12c-8\\=3c^3-16c^2-24c-8

So, after expanding the polynomial (3c + 2)(c^2-6c-4) we get  3c^3-16c^2-24c-8

3 0
3 years ago
How does the Pythagorean Table help you with addition?
scZoUnD [109]

Answer:

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

Step-by-step explanation:

Internet

7 0
3 years ago
How do you break apart 3 x 5
Burka [1]
You have to separate 3 five times so like 3+3+3+3+3=15
6 0
3 years ago
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
I NEED HELP ASAP
Allushta [10]
Euler's formula is given by:
 C + V = A + 2
 Where,
 C: number of faces
 V: number of vertices
 A: number of edges.
 Clearing A we have:
 A = C + V-2
 Substituting values:
 A = 21 + 14-2
 A = 33
 Answer:
 
the missing number is:
 
C.33
7 0
3 years ago
Other questions:
  • Y=2x+1 to a polar equation
    5·1 answer
  • Five times the sum of a number and 27 is greater than or equal to six times the sum of that
    12·1 answer
  • Can some one help me with 18
    8·1 answer
  • marcella's house costs $120,000. she paid a 20% down payment and then borrowed the rest at 6.5% for 20 years how much will she b
    9·1 answer
  • Is 0.7 a rational or irrational number??
    5·1 answer
  • The primary source of funding for the Medicare program is from A. premiums collected from the elderly population B. payroll taxe
    8·1 answer
  • . . What is the other endpoint of a segment with one endpoint at (-3, 8) and the midpoint at (7,1)?
    9·1 answer
  • Can a negative sign be used to describe a dilation?
    13·1 answer
  • Sue downloaded 20 songs for $25.00. What was the cost per song?
    10·1 answer
  • Can i have help with this please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!