# Emir is standing in a treehouse and looking down at a swing set in

the yard next door. The angle of depression from Emir's eyeline to the swing set is 33.69 degrees, and Emir is 10 feet from the ground. How many feet is the base of the tree from the swing set? Round the answer to the nearest foot.

a. 15 feet

b. 18 feet

c. 20 feet

d. 24 feet

I think it is 15 feet but am not sure.

The sail of a boat is in the shape of a right triangle.

The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.

Which expression shows the height, in meters, of the sail?

a. cosine of 35 degrees divided by 8

b. 8 (tangent of 35 degrees)

c. tangent of 35 degrees divided by 8

d. 8 (cosine of 35 degrees )

The figure below shows a right triangle.

opposite side = p units

hypotenuse side = q units

adjacent side = r units

y and x are the two acute angles

What is p divided by r equal to?

a. tan x degrees

b. tan y degrees

c. sin y degrees

d. cos x degrees

I think it is tan x degrees but not sure. (a.)

The picture below shows a right triangle shaped charging stand for a gaming system;

The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees and the measure of angle ABC is 50 degrees. Side B C measures 3 inches.

Which expression shows the height, AC, of the charging stand?

a. 3 divided by cos 50 degrees

b. 3 ( tan 50°)

c. 3 divided by tan 50 degrees

d. 3 (cos 50°)

I think the answer is b.

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 45 degrees with the ground , and the maximum height to which it should rise is 1 meter. What is the maximum length of the seesaw?

a. 1 meter

b. 1.4 meters

c. 2 meters

d. 0.5 meters

I think the answer is b. 1.4

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

a. Building A; it is around 16.35 feet taller than building B

b. Building A; it is around 114.48 feet taller than building B

c. Building B; it is around 16.35 feet taller than building A

d. Building B; it is around 114.48 feet taller than building A

I think the answer is C.

Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. If the distance from balloon A to the ground is 1,000 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

A. 999 feet

B. 1,005 feet

C. 1,052 feet

D. 1,102 feet

I think the answer is C, 1,052.

A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

a. 15.69 feet

b. 18.01 feet

c. 27.89 feet

d. 36.72 feet

I think the answer is 27.89 feet, C

I tried working these out myself but don't feel confident. Thanks for your help.

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