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Chapter 7 Review - Trigonometry

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This half of the review is on trigonometry. For decimal answers, round to the nearest tenth.
Use the following triangle for the next four questions.
Question 1
1.

Find sin(Y). Leave your answer as a reduced fraction.

Question 2
2.

Find cos(Y). Leave your answer as a reduced fraction.

Question 3
3.

Find tan(Y). Leave your answer as a reduced fraction.

Question 4
4.

Find sin(Z). Leave your answer as a reduced fraction.

Use the following triangle for the next four questions.
Question 5
5.

Find sin(L). Leave your answer as a reduced fraction.

Question 6
6.

Find cos(L). Leave your answer as a reduced fraction.

Question 7
7.

Find tan(N). Leave your answer as a reduced fraction.

Question 8
8.

Find cos(N). Leave your answer as a reduced fraction.

Question 9
9.

Solve for x.

Question 10
10.

Solve for x.

Question 11
11.

Solve for x.

Question 12
12.

Solve for x.

Use the following triangle for the next three questions.
Question 13
13.

Find the measure of angle M.

Question 14
14.

Find the measure of side MN.

Question 15
15.

Find the measure of side NL.

Use the following triangle for the next three questions.
Question 16
16.

Find the measure of angle P.

Question 17
17.

Find the measure of side QO.

Question 18
18.

Find the measure of side QP.

Use the following triangle for the next three questions.
Question 19
19.

Find the measure of angle C.

Question 20
20.

Find the measure of side AB.

Question 21
21.

Find the measure of side BC.

Use the following triangle for the next three questions.
Question 22
22.

Find the measure of angle F.

Question 23
23.

Find the measure of side FE.

Question 24
24.

Find the measure of side EG.

Use the following triangle for the next three questions.
Question 25
25.

Find the measure of angle B.

Question 26
26.

Find the measure of angle C.

Question 27
27.

Find the measure of side BC.

Use the following triangle for the next three questions.
Question 28
28.

Find the measure of angle Y.

Question 29
29.

Find the measure of angle Z.

Question 30
30.

Find the measure of side YZ.

Use the following triangle for the next three questions.
Question 31
31.

Find the measure of angle L.

Question 32
32.

Find the measure of angle N.

Question 33
33.

Find the measure of side MN.

Question 34
34.

Find the length of a ladder that reaches 29.1 feet high on a wall and is leaning at an angle of elevation of 50 degrees.

Question 35
35.

A movie screen is 48 feet tall. You are sitting 103 feet away from the screen. Find the angle of elevation.

Question 36
36.

How tall is a totem pole if the line of sight from a point 100 feet from its base makes an angle of 39 degrees with the horizontal?

Question 37
37.

To land, an airplane will approach an airport at a 3 degree angle of depression. If the plane is flying at 30,000 feet, find the direct diagonal distance from the plane to the landing strip when the pilot begins descending.

Question 38
38.

What is the angle of elevation of the moon if a 7-foot creature casts a shadow 45 feet long?

Question 39
39.

A ship is approaching a harbor with a lighthoues that is 175 feet high. The angle of depression the ship makes with the top of the lighthouse is 4 degrees from the horizontal. Find the distance from the base of the lighthouse to the ship.

Question 40
40.

From a point 300 m away from a building, you look up to the top with an angle of elevatiion of 34 degrees. Find the height of the building.

Question 41
41.

The Great Pyrmaid of Giza has a lateral height of 187 m. If the angle of elevation it makes with the ground is 52 degrees, what is the actual height (vertical) of the pyramid?