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Pre-Calculus Homework Solutions 232

Pre-Calculus Homework Solutions 232 - 30 30 ft x 400 ft A B...

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30. Let x represent m CAB . tan x ° ¬ 4 3 0 0 0 x ¬ tan 1 4 3 0 0 0 x ¬ 4.3 The angle of elevation of the track is about 4.3°. 31. sin f F ¬ sin g G sin f 82° ¬ sin 1 4 6 16sin82° ¬ f sin48° 16 si s n in 48 8 ° ¬ f 21.3 ¬ f 32. sin h H ¬ sin g G s 1 i 0 n . H 5 ¬ sin 1 6 3 13sin H ¬ 10.5sin65° sin H ¬ 10.5 1 si 3 n65° H ¬ sin 1 10.5 1 si 3 n65° H ¬ 47° 33. sin a A ¬ sin b B sin 1 6 5 ¬ si 1 n 1 B 11sin64° ¬ 15sin B 11s 1 in 5 64° ¬ sin B sin 1 11s 1 in 5 64° ¬ B 41° ¬ B m A m B m C 180 64 41 m C 180 m C 75 sin c C ¬ sin a A sin c 75° ¬ sin 1 6 5 15sin75° ¬ c sin64° 15 si s n in 64 7 ° ¬ c 16.1 ¬ c 34. sin c C ¬ sin a A sin 1 6 2 ¬ sin a 55° a sin67° ¬ 12sin55° a ¬ 12 si s n in 67 5 ° a ¬ 10.7 m A m B m C ¬ 180 55 m B 67 ¬ 180 m B ¬ 58 sin b B ¬ sin c C sin b 58° ¬ sin 1 6 2 12sin58° ¬ b sin67° 12 si s n in 67 5 ° ¬ b 11.1 ¬ b 35. sin a A ¬ sin b B sin 4. 2 8 ¬ s 8 in .7 B 8.7sin29° ¬ 4.8sin B 8.7s 4 i . n 8 29° ¬ sin B sin 1 8.7s 4 i . n 8 29° ¬ B 61° ¬ B m A m B m C 180 29 61 m C 180 m C 90 sin c C ¬ sin a A sin c 90° ¬ sin 4. 2 8 4.8sin90° ¬ c sin29° 4. s 8 i s n i 2 n 9 9 ° ¬ c 9.9 ¬ c 36. m A m B m C 180 29 64 m C 180 m C 87 sin a A ¬ sin b B sin a 29° ¬ si 1 n 8 6 .5 18.5sin29° ¬ a sin64° 18 s .5 in si 6 n 4 2 ° ¬ a 10.0 ¬ a sin b B ¬ sin c C si 1 n 8 6 .5 ¬ sin c 87° c sin64° ¬ 18.5sin87° c ¬ 18 s .5 in si 6 n 4 8 ° c ¬ 20.6 37. z 2
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