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Math 2
Right Triangle Trig Review
Name:__________________
Date:________ Period:_____
Special Case Right Triangles
Find the missing side or sides.
x
2.
10
1.
x
y
16
30º
3.
4.
y
30
60
o
x
x
45
o
8
z
x
5.
6.
30o
y
9
y
z
7
y
x
7. If the diagonal of a square is 24 inches, what is its area? What is its perimeter?
8. If a road sign is an equilateral triangle with a perimeter of 15 feet, how tall is the sign?
9. A perfect diamond has a side length of 6mm, what is the length and width of the
diamond? (hint – here’s a picture:
)
45o
Find the missing side or sides. Round to the nearest tenth.
9.
10.
y
19
41o
x
11.
q
r 72 o
12.
50
10
x
55o
y
13.
14.
90
32o
x
Y
X
12
15
15. Match the trig function to its ratio
16. Find the following trig. ratio using
the following triangle. (Leave as a fraction)
12
C
A
Opposite
Hypotenuse
sin A 
cos 
Opposite
Adjacent
tan A 
tan 
Adjacent
Hypotenuse
sin 
cos A 
cos B 
sin B 
tan B 
5
13
B
17. Find the missing angle
18. Find the missing angle

17
7
9
32

19. Find the missing angle

20. Find the missing angle
52
20
18
65

21. Solve the triangle
22. Solve the triangle
x

y
19o
9
21o
16
x

y
23.
Solve the triangle
24. Solve the triangle.
43
A
5
B
11
47
x
A
B
x
25. A bomber pilot is sighting his target at and angle of depression of 35o . If the ground
distance from him to his target is 2000 meters, at what altitude is he flying?
26. You are trying to point your laser at your neighbor’s annoying cat. The cat is in the
window of the second floor and you are in your backyard. If the window is 20 feet off the
ground and you’re 50 feet from the house, at what angle must you aim your laser?
27. You are a Marine Sniper on a training course. Your spotter tells you the target is at an
angle of elevation of 2 o on a hill that is 159 feet tall. How far will your bullet travel to the
target?
28. You are perched on the Goodyear Blimp watching a sporting event at an angle of
depression of 50o . If you are 1,000 feet in the air, what is the ground distance the blimp
must travel to be directly over the stadium?
29. You are constructing a skateboard ramp that needs to have an angle of elevation of 15o
and be 4 feet long. How high will the ramp be?
30. In order to reach the top of a building, a ladder must be 100 feet long when placed 10
feet from the building. What angle does the ladder make with the building and how tall is
the building?
31. If the sin 40º =
32. In
ABC
3
3
, the cos of what angle is also ? ________
5
5
, if the tan A =
2
, then tan B = _______ ?
7
33. Write 2 examples of “angels of elevation” and 2 examples of “angles of depression”.