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 Ï 3 w times the length of the shorter leg. Therefore, x 5 16 Ï 3 w and y 5 16. 60. Determine the slopes of A w B w and B w C w . slope of A w B w 5 ¬ } y x 2 2 2 2 y x 1 1 } 5 ¬ } 3 6 2 2 5 2 } 5 ¬ 2 } 1 2 } slope of B w C w 5 } 7 8 2 2 3 6 } 5 2 The product of the slopes of A w B w and B w C w is 2 1, so A w B w ' B w C w . 61. Determine the slopes of A w B w and B w C w . slope of A w B w 5 ¬ } y x 2 2 2 2 y x 1 1 } 5 ¬ } 0 7 2 2 ( 2 2 1) } 5 ¬ 5 slope of B w C w 5 } 1 4 2 2 7 0 } 52 } 3 2 } The product of the slopes of A w B w and B w C w is not 2 1, so A w B w is not perpendicular to B w C w . 62. Determine the slopes of A w B w and B w C w . slope of A w B w 5 ¬ } y x 2 2 2 2 y x 1 1 } 5 ¬ } 7 5 2 2 4 0 } 5 ¬ } 3 5 } slope of B w C w 5 } 3 8 2 2 7 5 } 52 } 4 3 } The product of the slopes of A w B w and B w C
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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