College Algebra Trig Quiz A

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College Algebra Trig Quiz A
Show all work necessary to receive full credit. Round all side lengths to the nearest tenth and all angle measures to
the nearest degree.
1. In triangle ABC,
is a right angle and
45. Find BC.
C
11 ft
B
A
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2. Find the lengths of the missing sides in the triangle.
y
7
45°
x
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3.
6
x
60°
12
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4. Write the tangent ratios for
P
29
21
R
Q
20
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8.9 cm
5.
x

and
.
6. A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the totem pole casts
a 249-foot-long shadow. Find the measure of
.
100 ft
A
249 ft
7.
7
15
x
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8.
21
x
15
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9. To approach the runway, a small plane must begin a 9 descent starting from a height of 1125 feet above the
ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this
approach?

1125 ft
x
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10. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts
a shadow 14 yards long.
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