Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The sine ratio relates to which two sides of a right triangle?
a. | The side opposite a given angle and the hypotenuse. | b. | The side adjacent to
a given angle and the hypotenuse. | c. | The side adjacent to a given angle and the
opposite side. | d. | The side adjacent to a given angle and the vertical
side. |
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2.
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The cosine ratio relates to which two sides of a right triangle?
a. | The side adjacent to a given angle and the vertical side. | b. | The side adjacent to
a given angle and the hypotenuse. | c. | The side adjacent to a given angle and the
opposite side. | d. | The side opposite a given angle and the hypotenuse. |
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3.
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What is the cosine of 32°?
a. | 0.625 | c. | 0.848 | b. | 0.564 | d. | 0.530 |
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4.
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What is the cosine of 59°?
a. | 0.857 | c. | 1.664 | b. | 0.515 | d. | 0.891 |
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5.
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A right triangle has a hypotenuse of 17 cm. If one of the angles is 23°,
what is the adjacent side?
a. | 7.85 cm | c. | 7.22 cm | b. | 15.65 cm | d. | 6.64 cm |
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6.
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If a right triangle has a hypotenuse of 50 cm and an angle of 70°, what is
the length of the side adjacent to the given angle?
a. | 46.98 cm | c. | 17.10 cm | b. | 137.37 cm | d. | 20.20 cm |
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7.
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A right triangle has an angle of 15°. If the opposite side is 67 cm long,
what is the length of the adjacent side?
a. | 250.0 cm | c. | 253.7 cm | b. | 258.9 cm | d. | 254.9 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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A right triangle has an angle of 50°. If the adjacent side is 28.0 cm long,
what is the length of the opposite side?
a. | 39.6 cm | c. | 34.8 cm | b. | 43.6 cm | d. | 33.4 cm |
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10.
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What is tan-1(0.14)?
a. | 8.05° | c. | 7.97° | b. | 39.25° | d. | 81.95° |
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Short Answer
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1.
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Solve for the unknown side length. 
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2.
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A right triangle with a hypotenuse of 25 m must have legs that are at least 3 m
in length. What is the maximum length that either of the legs can be?
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3.
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A right triangle has a hypotenuse of 24 m. If one of the angles is 54°,
what is the length of the opposite side?
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4.
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Gerald wants to use his kite to see if he can successfully drop a water balloon
on an unsuspecting target. If his kite is flying at an angle of 70° from the ground and his
target is 12 m away, how much string does Gerald need to let out on his kite?
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5.
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In a right triangle, the side opposite a given angle is 2.1 times larger than
the adjacent side. What is the measure of the angle?
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