Download Trig Unit Exam Review

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Date: ________________________
Workplace Math Exam
Review-Trigonometry
2. What is the length of each
indicated side, to the nearest
whole unit?
a)
1. Use the tangent ratio to determine
the length of the indicated side, to
the nearest whole unit.
a)
b)
c)
b)
c)
3. What is the height of the tree, to
the nearest tenth of a metre?
4. A wind storm causes a 12-m
telephone pole to break and
lean over. The top of the pole is
11.4 m from the ground. What
angle does the bottom of the pole
make with the ground, to the
nearest degree?
5. A guy wire that is 25 m long
supports a tower and forms an
angle of 65° with the ground.
How far is the tower base from
the guy wire attachment on the
ground, to the nearest tenth of
a metre?
6. Tim has a 4-m long ladder that
he wants to use to repair the
eaves troughs on his garage. The
eaves troughs are 4.75 m above
the ground. To be used safely,
the foot of the ladder must form
a 75° angle with the ground.
a) Sketch the scenario.
b) How high will the ladder
reach, if it is used safely?
c) What length of ladder does
Tim need to repair his
eaves troughs?
7. For each angle of elevation,
which trigonometric ratio can be
used to determine the length of
the indicated side?
a)
b)
8. For each angle of depression,
which trigonometric ratio can be
used to determine the length of
the indicated side?
a)
b)
9. Determine each angle measure,
to the nearest degree.
a) sin-1(0.9659)
b) cos-1(0.0437)
c) tan-1(0.8191)
d) tan A = 2.1445
e) sin A = 0.1736
f) cos A = 0.5736
10. A lighthouse is 30 m high.
The angle of elevation from a
ship to the top of the tower is
17°. What is the horizontal
distance from the ship to
the lighthouse?
11. A monument casts a 16-m
shadow. The angle of
depression of the sun’s rays is
43°. How tall is the monument?
12. From the top of a building that
is 65 m high, the angle of
depression of a truck on the
road is 32°. How far is the truck
from the foot of the building, to
the nearest metre?
13. A ramp is 12 m long and has
a height of 1.5 m. What is the
angle of elevation of the ramp,
to the nearest degree?
15. For each diagram, determine
the lengths of sides x and y to
the nearest whole unit.
a)
b)
14.For each diagram, determine the
lengths of x, y, and z to the
nearest whole unit.
a)
b)
16. Jessie stands on the roof of a
building with height 20 m using
a clinometer. She measures the
angle of elevation to the top of a
taller building nearby. She then
measures the angle of
depression to the bottom of the
taller building. Approximately
how tall is the building nearby,
to the nearest metre?