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bogdanovich [222]

2 years ago

5

11. Find the surface area of each figure. Leave the answers in pi where applicable. Show work

1 answer:

____ [38]2 years ago

8 0

<span>11. Find the surface area of each figure. Leave the answers in pi where applicable. Show work
36cm^2
14. Find the surface area of each figure. Leave the answers in pi where applicable. Show work
36*pi cm^2
19. Find the surface area of each figure. Round to the nearest tenth. Show work
391.6 in^2
23. Find the volume. Round to the nearest tenth if necessary. Show work
130.7*pi yd^3
29. What is the volume of a sphere with a surface area of 452.39 cm2? Round your answer to the nearest hundredth. Show work
</span> 288*pi cm^3
Attached solution.

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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi

irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

$tan(52^o)=\frac{AC}{50}$ ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

$AC=tan(52^o){50}$

$AC=64\ ft$

step 2

In the right triangle ABE

Find the length side AB

$tan(21^o)=\frac{AB}{50}$ ---> by TOA (opposite side divided by the adjacent side)

solve for AB

$AB=tan(21^o){50}$

$AB=19.19\ ft$

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

$64-19.19=44.81\ ft$

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