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Selected Response – Practice Questions – Trigonometry – Version 2
1.
Determine the length of AC to the nearest tenth of a centimetre.
A
B
64°
55°
38.9 cm
C
43.3 cm
D
a. 141.6 cm
2.
b. 39.9 cm
c. 41.9 cm
d. 70.4 cm
Two guy wires are attached to the top of a radio tower. The wires are 75 ft. and 52 ft.
long. The longer wire is anchored to the ground at a point 58 ft. from the base of the
tower. The shorter wire is anchored to the ground at a point between the base of the tower
and the longer wire. Calculate the angle of inclination of the shorter guy wire to the
nearest tenth of a degree.
a. 66.1
3.
b. 39.3
c. 23.9
d. 42.4
From the top of a 25-m lookout tower, a fire ranger observes one fire due east of the
tower at an angle of depression of 7. She sees another fire due north of the tower at an
angle of depression of 3. How far apart are the fires to the nearest metre?
a. 477 m
b. 681 m
c. 519 m
d. 205 m
Calculate the measure of GHJ to the nearest tenth of a degree.
4.
H
6 cm
9 cm
G
K
a. 29.3
5.
J
4 cm

b.
Determine the area of
c. 68.0
d.

to the nearest square centimetre.
R
21°
23.3 cm
T
a. 291 cm2
5.
S
b. 208 cm2
c. 707 cm2
d. 104 cm2
At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the
pole is 50.1. How tall is the totem pole to the nearest foot?
a. 39 ft.
b. 21 ft.
c. 30 ft.
d. 16 ft.
Selected Response – Practice Questions – Trigonometry – Version 2
6.
Solve this right triangle. Give the measures to the nearest tenth.
F
50°
H
28.5.0 cm
G
a.
b.
7.
cm
cm
b. 222 m
c. 130 m
d. 109 m
A ladder is 8.0 m long. It leans against a wall. The angle of inclination of the ladder is
72. To the nearest tenth of a metre, how far from the wall is the base of the ladder?
a. 2.5 m
9.
cm
cm
A balloon is flying at the end of a 170-m length of string, which is anchored to the
ground. The angle of inclination of the string is 50. Calculate the height of the balloon to
the nearest metre.
a. 143 m
8.
c.
d.
b. 2.6 m
c. 7.6 m
d. 25.9 m
Determine the length of DE to the nearest tenth of a centimetre.
D
7.7 cm
E
a. 13.9 cm
10.
a. 42°
F
b. 8.8 cm
c. 15.9 cm
d. 3.7 cm
A rope that supports a canopy is 8.5 m long. The rope is attached to the canopy at a point
that is 7.5 m above the ground. What is the angle of inclination of the rope to the nearest
tenth of a degree?
a. 61.9
11.
29°
b. 41.4
c. 28.1
d. 48.6
A 55-ft. guy wire helps to support a tower. The wire is anchored to the ground 37 ft. from
the base of the tower. What is the measure of the angle formed between the wire and the
ground, to the nearest degree?
b. 48°
c. 56°
d. 34°

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