Pre-Calculus Homework Solutions 241

Pre-Calculus Homework Solutions 241 - 53. Use the Law of...

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243 Chapter 8 53. Use the Law of Sines since we know the measures of two sides and an angle opposite one of the sides. } sin g G } 5 ¬ } sin f F } } si 1 n 7 G } 5 ¬ } sin 1 5 5 } sin G 5 ¬ } 17s 1 in 5 54° } G 5 ¬ sin 2 1 1 } 1 in 5 54° } 2 G < ¬ 66° Use the Angle Sum Theorem to find m / H . m / F 1 m / G 1 m / H 5 ¬ 180 54 1 66 1 m / H < ¬ 180 m / H < ¬ 60 Use the Law of Sines to find h . } sin f F } 5 ¬ } sin h H } } sin 1 5 5 } 5 ¬ } sin h 60° } h 5 ¬ } 15 si s n in 54 6 ° } h < ¬ 16.1 Therefore, m / G < 66, m / H < 60, and h < 16.1. 54. Use the Angle Sum Theorem to find m / G . m / F 1 m / G 1 m / H 5 ¬ 180 47 1 m / G 1 78 5 ¬ 180 m / G 5 ¬ 55 Use the Law of Sines to find f and h. } sin g G } 5 ¬ } sin f F } } sin 3 5 1 } 5 ¬ } sin f 47° } f 5 ¬ } 31 si s n in 55 4 ° } f < ¬ 27.7 } sin g G } 5 ¬ } sin h H } } sin 3 5 1 } 5 ¬ } sin h 78° } h 5 ¬ } 31 si s n in 55 7 ° } h < ¬ 37.0 Therefore, m / G 5 55, f < 27.7, and h < 37.0. 55. Use the Angle Sum Theorem to find m / F . m / F 1 m / G 1 m / H 5 ¬ 180 m / F 1 56 1 67 5 ¬ 180 m / F 5 ¬ 57 Use the Law of Sines to find f and h.
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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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