Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of the following is not a Pythagorean triple?
a. | 9, 11, 17 | c. | 8, 15, 17 | b. | 7, 24, 25 | d. | 3, 4, 5 |
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2.
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What is the sine of 19°?
a. | 0.946 | c. | 0.360 | b. | 0.344 | d. | 0.326 |
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3.
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A right triangle has a hypotenuse of 1.4 cm. If one of the angles is 45°,
what is the adjacent side?
a. | 0.99 cm | c. | 0.99 cm | b. | 1.40 cm | d. | 2.2 cm |
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4.
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A right triangle has a hypotenuse of 39 cm. If one of the angles is 83°,
what is the adjacent side?
a. | 39.92 cm | c. | 38.71 cm | b. | 317.63 cm | d. | 4.75 cm |
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5.
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The tangent ratio relates to which two sides of a right triangle?
a. | The side adjacent to a given angle and the hypotenuse. | c. | The side opposite a given angle and
the adjacent side. | b. | The side adjacent to a given angle and the
vertical side. | d. | The side
opposite a given angle and the hypotenuse. |
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6.
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What is the tangent of 24°?
a. | 0.441 | c. | 0.914 | b. | 0.407 | d. | 0.445 |
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7.
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What does an inverse trigonometric function solve for?
a. | Length of hypotenuse | c. | Length of the opposite side | b. | Length of the
adjacent side | d. | Angle |
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8.
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What is cos-1(0.22)?
a. | 12.71° | c. | 77.29° | b. | 43.91° | d. | 12.41° |
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9.
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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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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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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 right triangle has a hypotenuse of 29 m. If one of the angles is 41°,
what is the length of the adjacent side?
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3.
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The steps of a stepladder rise at an incline of 60°. If the base of the
ladder is 0.62 m long, how tall is the stepladder?
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4.
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A doorstop has a height of 2 in. If the doorstop makes an angle of 20° with
the ground, what is the length of its base?
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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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