Download Informal Geometry

Math 2 with Support
Review - Trig Ratios
Name __________________
MM2G2.a.
Discover the relationship of the trigonometric ratios for similar triangles.
Find each trig ratio below. Leave your answers as fractions.
S
17
6
15
R
8
1. sin Q = _______________
4. sin S = _____________
2. cos Q = _______________
5. cos S = _____________
3. tan Q = _______________
6. tan S = _____________
Q
Use the appropriate trig ratio to find the missing side length. Round to the nearest tenth.
7.
_____________
8.
_____________
7
x
15
x
o
19
38o
Use the appropriate trig ratio to find the indicated angle measure. Round to the nearest tenth
9.
______________
34
10.
____________
15
A
54
C
98
Solve the following right triangle (round all values to the nearest tenth).
D
14
O
25
G
11. m  G = _____________
12. m  O = _____________
13. DO =
_____________
MM2G2.b.
Explain the relationship between the trigonometric ratios of complementary angles.
1. What do complementary angles add up to?
2. Find the complement of 17o.
3. If A and B are complementary angles, and sin A = 3/8, find cos B.
4. If A and B are complementary angles and tan A = 6/19, find tan B.
MM2G2.c.
Solve application problems using the trigonometric ratios.
Solve each problem. Draw a picture and show all work.
1. A basketball player is at the free-throw line, which is 12 feet from the center of the basket rim. The rim is 5
feet above the player’s eyes. What is the angle of elevation from the player’s eyes to the center of the rim?
2.
A ladder is leaning against a house so that the top of the ladder is 17 feet above the ground. The
angle the ladder makes with the ground is 43. How far is the base of the ladder from the house?
3. A meteorologist measures the angle of elevation of a weather balloon as 34. A radio signal from the balloon
indicates that it is 245 meters from her location. How far is the meteorologist from the top of the balloon?
34
245
Meteorologist
4. A passenger in a helicopter shines a light on a car stranded on the ground 73 ft from a point below the
helicopter. If the helicopter is hovering at 100 ft, what is the angle of depression from the light source?
5. A ramp is being built to a porch. The porch is 8 ft high. The ramp will make a 23o angle with the ground.
What will be the length of the ramp?