Pre-Calculus Homework Solutions 219

# Pre-Calculus Homework Solutions 219 - plane and the second...

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m / W 1 m / X 1 m / Y 5 ¬ 180 88 1 49.6 1 m / Y < ¬ 180 137.6 1 m / Y < ¬ 180 m / Y < ¬ 42.4 } sin w W } 5 ¬ } sin y Y } } sin 2 8 1 } 5 ¬ } sin4 y 2.4 ° } y sin88° 5 ¬ 21sin42.4 ° y 5 ¬ } 21 s s i i n n 8 4 8 2 ° .4 ° } y < ¬ 14.2 30. Let x be the measure of each base angle. x 1 x 1 44 5 ¬ 180 2 x 1 44 5 ¬ 180 2 x 5 ¬ 136 x 5 ¬ 68 Let y be the measure of each of the congruent sides. } sin 4 4 6 } 5 ¬ } sin y 68° } y sin44° 5 ¬ 46sin68° y 5 ¬¬ } 46 si s n in 44 6 ° } y < ¬ 61.4 The perimeter of the triangle is about 46 1 61.4 1 61.4 or 168.8 cm. 31. } sin 1 2 2 } 5 ¬ } sin A 4 B } AB sin28° 5 ¬ 12sin40° AB 5 ¬ } 12 si s n in 28 4 ° } AB < ¬ 16.43 AB # > DC # and AD # > BC # , so the perimeter of ABCD is 2(16.43) 1 2(12) or 56.9 units. 32. m / X 1 m / Y 1 m / Z 5 ¬ 180 44 1 78 1 m / Z 5 ¬ 180 122 1 m / Z 5 ¬ 180 m / Z 5 ¬ 58 } sin x 44° } 5 ¬ } sin 2 5 6 } 26sin44° 5 ¬ x sin58° } 26 si s n in 58 4 ° } 5 ¬ x 21.3 < ¬ x } sin y 78° } 5 ¬ } sin 2 5 6 } 26sin78° 5 ¬ y sin58° } 26 si s n in 58 7 ° } 5 ¬ y 30 < ¬ y The length of fence needed is about 30 1 21.3 1 26 or 77.3 feet. 33. m / A 1 m / B 1 m / P 5 ¬ 180 43 1 48 1 m / P 5 ¬ 180 91 1 m / P 5 ¬ 180 m / P 5 ¬ 89 } si 2 n 0 P } 5 ¬ } sin a A } } sin 2 8 0 } 5 ¬ } sin a 43° } a sin89° 5 ¬ 20sin43°. a 5 ¬ } 20 si s n in 89 4 ° } a < ¬ 13.6 } si 2 n 0 P } 5 ¬ } sin b B } } sin 2 8 0 } 5 ¬ } sin b 48° } b sin89° 5 ¬ 20sin48° b 5 ¬ } 20 si s n in 89 4 ° } b < ¬ 14.9 The first station is about 14.9 miles from the
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Unformatted text preview: plane, and the second station is about 13.6 miles from the plane. 34. m / A 1 m / B 1 m / T 5 ¬ 180 80 1 85 1 m / T 5 ¬ 180 165 1 m / T 5 ¬ 180 m / T 5 ¬ 15 } s 3 in 15 T } 5 ¬ } sin a A } } si 3 n 1 1 5 5° } 5 ¬ } sin a 80° } a sin15° 5 ¬ 315sin80° a 5 ¬ } 31 s 5 in si 1 n 5 8 ° 0° } a < ¬ 1198.6 } sin d B } 5 ¬ } sin a 90° } } sin d 85° } 5 ¬ } 1 si 1 n 9 9 8 .6 ° } 1198.6sin85° 5 ¬ d sin90° } 119 s 8 i . n 6 9 si n ° 85° } 5 ¬ d 1194.0 < ¬ d The distance across the gorge is about 1194 feet. b d a B 80 ± 85 ± 315 ft T A ba B 43 ± 48 ± 20 mi P A x X 78 ± 44 ± 26 ft Z y Y 221 Chapter 7...
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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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