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Math 10
Assignment 5 A
NAME:__________________
Trigonometry
Date:………………………..
Answer each of the following questions in the spaces provided. Show all work!!!
1. Determine the value of x.
D
GDF ~ HEF
E
5 cm
6 cm
F
8 cm
x
H
G
2. From ground level, it is possible to see the top of a building just over the top of a tree when standing
18.0 m from the tree. If the tree is 13.6 m tall and the building is 32.8 m from the tree, how tall is the
building? (draw a diagram, set up the ratios, and solve).
3. Simplify:
(a) 125
(b)  3 72
4. Find the angle indicated. Round your answer the nearest degree.
5. Determine the value of x for each of the following. Leave your answers as exact values (simplest
radical form).
x
(a)
14
(b)
10
20
18
x
6. A ladder 7.5 m long is placed against a wall that is 5.2 m high. How far is the bottom of the ladder
from the base of the wall? (round answer to nearest tenth).
7. Trigonometric ratios for ∆PQR are shown. Which are true (T)? Which are false (F)? Circle your
choice. Correct those that are false.
a) sin P 
4
5
T
F
(b) tan R 
4
3
T
F
4
Q
P
3
5
(c) cos R 
3
5
T
F
(d) tan P 
3
5
T
F
8. Find the missing sides of the following triangles. Round answers to nearest tenth.
(a)
(b)
(c)
(d)
R
9. Complete the following. Make sure answer is in simplest form.

(a)  3 28  45  3 20  63  5 80
(c)
5 48
4 6
(d)

(b)  3 12 4 48
2
3
(e)

5
20
10. Given: JKL : J  90, k  12, j  18
Draw a diagram and find all missing sides and angles. Round answers to (sides nearest tenth, angles
nearest degree).
Math 10
Assignment 5 B
NAME:__________________
Trigonometry
Date:………………………..
Answer each of the following questions in the spaces provided. Show all work!!!
1. Determine the value of x.
CDE ~ CAB
E
6m
8m
D
C
16m
B
A
x
2. From ground level, it is possible to see the top of a building just over the top of a tree when standing
19.0 m from the tree. If the tree is 13.9 m tall and the building is 33.8 m from the tree, how tall is the
building? (draw a diagram, set up the ratios, and solve).
3. Simplify:
(a) 384
(b)  5 80
4. Find the angle indicated. Round your answer to the nearest degree.
5. Determine the value of x for each of the following. Leave your answers as exact values (simplist
radical form)
(a)
(b)
6. A ladder 7.7 m long is placed against a wall that is 5.4 m high. How far is the bottom of the ladder
from the base of the wall? (round answer to nearest tenth).
7. Trigonometric ratios for ∆PQR are shown. Which are true (T)? Which are false (F)? Circle your
choice. Correct those that are false.
(a) sin P 
3
5
T
F
(b) tan R 
3
4
T
F
4
Q
P
3
5
(c) cos R 
5
3
T
F
(d) tan P 
3
4
T
F
8. Find the missing sides of the following triangles. Round answers to nearest tenth.
R
9. Complete the following. Make sure answer is in simplest radical form.

(a)  9 28  2 45  5 20  63  4 80
(c)
5 54
4 2
(d)

(b)  3 12 4 72
2
5
(e)

5
18
10. Given: XYZ : Y  90, x  13, y  19
Draw a diagram and find all missing sides and angles. Round answers to (sides nearest tenth, angles
nearest degree).