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Pre-Calculus Homework Solutions 255

# Pre-Calculus Homework Solutions 255 - 59 Two angles are...

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257 Chapter 8 59. Two angles are given, 60° and 90°, so this is a 30°-60°-90° triangle. The shorter leg is half the length of the hypotenuse, and the longer leg is 3 times the length of the shorter leg. Therefore, x 16 3 and y 16. 60. Determine the slopes of AB and BC . slope of AB ¬ y x 2 2 y x 1 1 ¬ 3 6 5 2 ¬ 1 2 slope of BC 7 8 3 6 2 The product of the slopes of AB and BC is 1, so AB BC . 61. Determine the slopes of AB and BC . slope of AB ¬ y x 2 2 y x 1 1 ¬ 0 7 ( 2 1) ¬ 5 slope of BC 1 4 7 0 3 2 The product of the slopes of AB and BC is not 1, so AB is not perpendicular to BC . 62. Determine the slopes of AB and BC . slope of AB ¬ y x 2 2 y x 1 1 ¬ 7 5 4 0 ¬ 3 5 slope of BC 3 8 7 5 4 3 The product of the slopes of AB and BC is not 1, so AB is not perpendicular to BC . 63. Determine the slopes of AB and BC . slope of AB ¬ y x 2 2 y x 1 1 ¬ 1 3 ( ( 2 5 ) ) ¬ 2 3 slope of BC 0 1 ( 3 1 ) 3 2 The product of the slopes of AB and BC is 1, so AB BC .
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