Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A ladder is 5 m long. If it is leaning against a wall, with the bottom of the
ladder 1.5 m away from the base of the wall, how high up the wall will it reach?
a. | 2.57 m | c. | 3.67 m | b. | 5.22 m | d. | 4.77 m |
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2.
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What is the sine of 47°?
a. | 0.682 | c. | 0.731 | b. | 1.072 | d. | 0.765 |
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3.
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A right triangle has a hypotenuse of 16 cm. If one of the angles is 27°,
what is the length of the opposite side?
a. | 8.15 cm | c. | 7.26 cm | b. | 8.47 cm | d. | 14.26 cm |
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4.
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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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5.
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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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6.
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A right triangle has an angle of 59° and the adjacent side is 30 cm. What
is the hypotenuse?
a. | 35.00 cm | c. | 46.30 cm | b. | 18.03 cm | d. | 58.25 cm |
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7.
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A right triangle has a leg of 3.6 cm and the adjacent angle is 35.4°. What
is the length of the hypotenuse?
a. | 6.21 cm | c. | 5.07 cm | b. | 17.51 cm | d. | 4.42 cm |
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8.
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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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9.
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A right triangle has an angle of 76°. If the adjacent side is 19.0 cm long,
what is the length of the opposite side?
a. | 19.0 cm | c. | 76.2 cm | b. | 74.5 cm | d. | 78.5 cm |
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10.
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A right triangle has one angle of 34°. If the side opposite the given angle
measures 15.3 cm, what is the length of its adjacent side?
a. | 22.68 cm | c. | 18.46 cm | b. | 38.56 cm | d. | 27.36 cm |
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Short Answer
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1.
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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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2.
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A road worker measures the incline of a ramp that rises 11.5 m to be 25.1°.
What is the length of the ramp?
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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 worker uses a board to create a temporary ramp for his wheelbarrow. If the
board covers a horizontal distance of 107 cm and has an angle of elevation of 21.9°, how long is
the board, in metres?
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5.
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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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