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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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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3.
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What is the sine of 79°?
a. | 0.191 | c. | 1.016 | b. | 5.145 | d. | 0.982 |
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4.
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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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5.
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The tangent ratio is ________________ as the angle increases from 0° to
90°.
a. | Mostly increasing, sometimes decreasing | c. | Always
increasing | b. | Mostly decreasing, sometimes increasing | d. | Always
decreasing |
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6.
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What is the tangent of 40°?
a. | 0.766 | c. | 0.643 | b. | 0.839 | d. | 0.677 |
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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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What is sin-1(0.21)?
a. | 12.12° | c. | 43.32° | b. | 11.86° | d. | 77.88° |
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9.
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What is cos-1(0.37)?
a. | 52.92° | c. | 68.28° | b. | 21.72° | d. | 20.30° |
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10.
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The hypotenuse of a right triangle is 20.8 cm and one leg is 4.2 cm long. What
is the angle adjacent to the 4.2 cm side?
a. | 11.65° | c. | 78.35° | b. | 90.65° | d. | 11.42° |
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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 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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3.
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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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4.
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A mountain is 1300 m tall and its peak is 1774 m up the side of the hill. At
what angle does the mountain rise?
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5.
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In a right triangle, the side adjacent to a given angle is  as long as the
hypotenuse. What is the measure of the angle?
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