Name: __________________________
Math 10-C Trigonometry Review Assignment
Directions: Please show all of your work.
1. Determine the measure of the indicated side in the following triangles. Give answers correct
to the nearest tenth if needed.
a)
b)
16.8 m
x
32.4 m
c)
28.5 m
x
65 cm
x
63.2 m
33 cm
2. Write each trigonometric ratio given the triangle at the right. Give your answer as a fraction
in simplest form and also as a decimal to four decimal places.
a) sin A
B
b) cos A
34 m
A
c) tan A
30 m
16 m
d) sin B
C
e) cos B
f)
tan B
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3. Calculate the measure of each angle to the nearest degree.
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a) sin A 
b) tan B  1.3565
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c) cos C 
12.7
15.8
4. Evaluate the following, to four decimal places.
a)
sin37  ________________
b) tan58  ________________
5. Determine the measurement of the indicated side. Express your answer to the nearest tenth
of a unit.
a)
b)
c)
d)
e)
f)
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6. Determine the measure of each indicated angle, to the nearest degree.
a)
b)
c)
7. Solve each of the following triangles. Give lengths of sides to one decimal place and angles
to the nearest degree.
a)
b)
8. Mining is a major industry in Saskatchewan. An air
shaft must be drilled from a mine tunnel to the surface
of a hill at 75 m intervals, measured horizontally along
the tunnel. How long, to the nearest tenth of a metre,
is the shaft if it emerges 94 m up the slope of the hill
as indicated in the diagram?
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Use the following information to answer the next question.
Andy lives down the street from the school. The angle from Andy’s house to Jill’s house measures 50 
and the angle from the school to Jill’s house measures 75  . Jill’s house is 500 m from the street on
which Andy lives. Andy walks directly to Jill’s house, picks up his friend Jill, and then walks directly to
school.
9. What is the total distance that Andy walks to school?
10. Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m.
She started at point C. Determine the angle, to the nearest degree, between her path and the
longest side of the playground.
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11. A guy wire is attached to a tower at a point that is 5.5 m above the ground. The angle
between the wire and the level ground is 56. How far from the base of the tower is the wire
anchored to the ground, to the nearest tenth of a metre?
12. A student stood 8.0 m from the base of a tree. She used a clinometer to sight the top of the
tree. The angle shown on the protractor scale was 65. The student held the clinometer 1.6 m
above the ground. Determine the height of the tree to the nearest tenth of a metre.
13. A surveyor held a clinometer 1.5 m above the ground from a point 60.0 m from the base of
a tower. The angle between the horizontal and the line of sight to the top of the tower was 21.
Determine the height of the tower to the nearest tenth of a metre.
14. 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?
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15. Determine the length of RS to the nearest tenth of a centimeter.
16. Determine the length of MN to the nearest tenth of a centimeter.
17. 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?
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18. Determine the length of QR to the nearest meter.
19. Calculate the measure of GHJ to the nearest tenth of a degree.
20. 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.
21.Calculate the measure of ABC to the nearest tenth of a degree.
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22. A rock face is 200 m from the base of a California redwood tree. The angle of elevation from
the top of the rock face to the top of the tree is 35°. The angle of depression to the bottom of
the tree is 15°.
35
15
200m
a) Determine the height of the rock face, to the nearest tenth of a meter.
b) Determine the height of the tree, to the nearest tenth of a meter.
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