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motikmotik
3 years ago
15

A lighthouse keeper views a small boat at an angle of depression of 62 degrees. The boat is 446 feet away from the base of the l

ighthouse. How tall is the lighthouse?

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer: the height of the lighthouse is 838.8 feet

Step-by-step explanation:

The right angle triangle ABC illustrating the scenario is shown in the attached photo.

The angle of depression and angle A are alternate angles, hence, they are the equal.

The height, h of the lighthouse represents the opposite side of the right angle triangle. The distance of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.

To determine h, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 62 = h/446

h = 446tan62 = 446 × 1.8807

h = 838.8 feet to the nearest tenth.

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Question 4:
18(A)+7(S)+10(G)=35 lollipops
35/10=3.5
35/18=1.99(repeating)
35/7=5

I hope that helps in some way. <span />
5 0
3 years ago
tana fills the prism shown (3 1/4 and 4 inch) with 110 1/2 in squared of liquid what is the height of the prism
mixas84 [53]
(X)(3.25)(4)= 110.5
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3 years ago
Read 2 more answers
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the
horsena [70]

Answer:

8.7

Step-by-step explanation:

Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length

8 0
3 years ago
A cylinder has a diameter of 10 units. Its radius is ____ units. Of its height is _______ twice its radius, its height is units.
SpyIntel [72]

Answer:

Height is 10 units

Volume is 785 cubic units

Step-by-step explanation:

We are given;

Diameter of a cylinder as 10 units

But, radius = d/2

                  = 5 units

Height is twice its radius,

Thus, Height = 10 units

We can get the volume;

Volume of a cylinder = pir²H

Taking pi to be 3.14

Then;

Volume = 3.14 × 5²× 10

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Thus, the volume of the cylinder is about 785 cubic units

6 0
3 years ago
12а + 7x - За – 2х what's the answer<br>​
Troyanec [42]
9a-5x

step by step explanation:

you can only add and subtract numbers that have the same variables.

12a and 3a are related because there variable is both a.

when u subtract 12a-3a you get the answer of 9a using subtraction.

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7x-2x is 5x using subtraction.

put the expression together:

9a-5x

hope this helps!

give me brainliest if it did plz
8 0
2 years ago
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