NAME_________________________________________DATE_________________PER._____
Topic 10B Test Review: Trigonometry
Use the diagram to express each ratio as a fraction in simplest form.
1. __________
sinL = ?
2. __________
sinN = ?
3. __________
cosL = ?
4. __________
cosN = ?
5. __________
tanL = ?
6. __________
tanN = ?
L
9
M
15
12
N
Find the value of x in each of the following.
7. x = __________
63
12
x
8.
x = _________
100
61
x
Find the unknown parts of the triangles. Show trig setup. Round sides to nearest
tenth and angles to nearest degree.
9.
x = ________
10. mB =_______
11. mD =_______
D
F
12. mF =_______
D
F
Find the unknown parts of the triangles. Show trig setup. Round sides to nearest tenth and angles to nearest degree.
13. x =_______
y
14. y =_______
y
15.____________
16. ____________
Lindsey is 10.1 meters up, and the angle
of depression from Lindsey to Pete is
65°. Find the distance from Pete to the
base of the building to the nearest tenth
of a meter.
Lindsey shouts down to Pete
from her third-story window.
To see Lindsey better, Pete walks out
into the street so he is 9.0 meters from
the base of the building. (Lindsey is still
10.1 meters up.) Find the angle of
depression from Lindsey to Pete to the
nearest degree.
17. While flying a kite, Linda lets out 45 ft of string and anchors it to the ground. She
determines that the angle of elevation of the kite is 58°. What is the vertical distance from the
kite to the ground? Round to the nearest tenth.
18. A woman stands 15 ft from a statue. She looks up at an angle of 60° to see the top of the
statue. Her eye level is 5 ft above the ground. How tall is the statue to the nearest foot?
19. An America Ninja Warrior stands at the edge of a canyon and needs to make it across to
continue the competition. The other side of the canyon is 8 ft away and 6 ft higher than where
the warrior stands. At what angle of elevation will the warrior have to jump to make it from
where he is standing, directly to the top of the cliff side across the gap? Round to the nearest
degree.
6 ft
𝑥°
8 ft
20. While the ninja warrior is trying to make his
jump, there are ants on the opposite cliff looking down
on him. What is the angle of depression from the ants to
the ninja’s feet?