Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A carpet has side lengths of 3.2 m and 4.6 m. What is the distance between
opposite corners of the carpet?
a. | 3.3 m | c. | 5.6 m | b. | 2.8 m | d. | 7.9 m |
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2.
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TV screen sizes are indicated by the distance between opposite corners. A big
screen TV has sides that are 32 in high and 43 in wide. What is the size of the TV?
a. | 49 in | c. | 29 in | b. | 59 in | d. | 54 in |
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3.
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Each side of a square is 10 cm long. What is the length of the diagonal of the
square?
a. | 14.14 cm | c. | 17.14 cm | b. | 18.54 cm | d. | 20.14 cm |
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4.
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What is an angle of depression?
a. | The angle between the horizon and the line of sight when looking
down. | b. | The angle between the horizon and the line of sight when looking
up. | c. | The angle between the hypotenuse and the vertical leg of a
triangle. | d. | The angle between the vertical and horizontal legs of a
triangle. |
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5.
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A right triangle has an angle of 68° and the opposite side is 31 cm. What
is the length of the hypotenuse?
a. | 12.52 cm | c. | 82.75 cm | b. | 33.43 cm | d. | 44.73 cm |
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6.
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A right triangle has an angle of 15° and the opposite side is 28 cm. What
is the length of the hypotenuse?
a. | 28.99 cm | c. | 104.50 cm | b. | 119.48 cm | d. | 108.18 cm |
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7.
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A right triangle has an angle of 8° and the opposite side is 246 cm. What
is the length of the hypotenuse?
a. | 248.42 cm | c. | 1750.38 cm | b. | 1778.88 cm | d. | 1767.58 cm |
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8.
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A right triangle has an angle of 62°. If the opposite side is 57 cm long,
what is the length of the adjacent side?
a. | 34.0 cm | c. | 30.3 cm | b. | 60.6 cm | d. | 64.6 cm |
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9.
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Which side of a right triangle will be the longest if tan A is equal to
2?
a. | hypotenuse | c. | corresponding side | b. | opposite side | d. | adjacent side |
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10.
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A right triangle has two sides measuring 10 m and 22 m, respectively. If one of
the sides is the hypotenuse, what is the largest angle that can be between them?
a. | 27.0° | c. | 63.0° | b. | 24.4° | d. | 67.5° |
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Short Answer
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1.
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Will a pencil that is 15 cm long fit into a pencil case that is 13 cm long and
10 cm wide?
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2.
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A birdwatcher spots a bird that is perched on a branch 9.3 m off the ground. The
angle of elevation is 21°. What is the shortest distance between the birdwatcher and the
bird?
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3.
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The diagram below has the following dimensions: a = 27°
b = 35 cm c = 36 cm What is the value of y? 
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4.
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A 8-m long extension cord is needed to power a drill that a worker is using at
shoulder level, with the cord fully extended from the plug in the wall. The angle of elevation of the
cord is 39.7°. What is the horizontal distance from the plug to where the worker is using the
drill?
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5.
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A child rolls down a hill that is 6.7 m high. If he rolls a total of 11.8 m to
reach the base of the hill, at what angle does the hill rise?
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