Name:____________________
Block: ____________
Math 10 F & PC
Chapter 2 Trigonometry Practice Test
1. Determine the measure of D to the nearest tenth of a degree.
9
D
E
3
F
2. Determine the tangent ratio for T.
35
R
S
37
T
3. Determine the length of side d to the nearest tenth of a centimetre.
F
D
20°
10.1 cm
d
E
4. From a point 18 ft. from the base of a flagpole, Seema used a clinometer to sight the top of the flagpole. Seema
held the clinometer 5 ft. 3 in. above the ground. The angle between the horizontal and the line of sight was 52.
Determine the height of the flagpole to the nearest foot.
____
5. Determine the measure of Q to the nearest tenth of a degree.
P
7
Q
19
R
____
6. Determine the measure of V to the nearest tenth of a degree.
V
15.1
8.9
T
U
____
7. 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?
____
8. A surveyor made the measurements shown in the diagram. Determine the distance from R to S, to the nearest
hundredth of a meter.
Q
S
38.91 m
56.5°
R
____
9. A tree broke 14 ft. above the ground. The top of the tree now touches the level ground and the trunk is still partially
attached to the stump. The angle of inclination of the tree is 43. To the nearest foot, determine the height of the
tree before it broke.
____ 10. An architect draws this diagram of a wheelchair entrance ramp for a building. Determine the angle of inclination of
the ramp to the nearest tenth of a degree.
0.4 m
7.0 m
____ 11. Determine the area of
to the nearest square centimetre.
R
21°
23.3 cm
T
S
____ 12. Determine the length of RS to the nearest tenth of a centimetre.
R
8.9 cm
Q
54°
S
39°
T
____ 13. Two trees are 55 yd. apart. From a point halfway between the trees, the angles of elevation of the tops of the trees
are measured. What is the height of each tree to the nearest yard?
tree
tree
34°
29°
55 yd.
____ 14. From the top of an 80-ft. building, the angle of elevation of the top of a taller building is 49 and the angle of
depression of the base of this building is 62. Determine the height of the taller building to the nearest foot.
49°
62°
80 ft.
15. A 2.7-m cable is attached to a sign. The cable is anchored to the ground 1.8 m from the base of the sign. What is
the angle of inclination of the cable to the nearest tenth of a degree?
16. A guy wire is connected from a tower to the ground. Determine the height of the tower, to the nearest tenth of a
metre. What assumptions about the ground are you making?
A
49°
E 30.1 m
D
17. Determine the area of ABC to the nearest tenth of a square unit. Determine its perimeter to the nearest tenth of a
unit.
C
57°
23.6
A
B
18. A boat was docked 30.0 m from the base of a cliff. A sailor used a clinometer to sight the top of the cliff. The angle
between the horizontal and the line of sight was 74°. The sailor held the clinometers 1.5 m above the surface of the
water. Determine the height of the cliff to the nearest tenth of a meter.
19. A square pyramid has a height of 18.4 cm. The side length of the base is 14.3 cm. Determine the measures of the
angles in each triangular face. Give the measures to the nearest tenth of a degree.
18.4 cm
14.3 cm
20. Determine the length of the diagonals in this kite to the nearest tenth of a centimetre.
B
|
17.9 cm
|
45.1°
E
A
C
64.3°
||
||
29.0 cm
25.7°
D