Pre-Calculus Homework Solutions 231

Pre-Calculus Homework Solutions 231 - 20. 14 14 3 14 3 3 3...

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Unformatted text preview: 20. 14 14 3 14 3 3 3 14 3 3 26. z3 B z 60 ft x A Let x represent m BAC. 60 tan x°¬ 500 3 z a 2z a 2 143 3 or 283 3 z y3 14 3 3 14 3 1 3 3 14 3 y tan x°¬ 60 1500 x¬ tan 1 160 500 x¬ 2.3 The angle of elevation must be greater than 2.3°. 3 y 27. D A y 100 ft b 2y b 2 14 or 28 3 3 21. sin F x C a c 9 3 15 or 5 b c 12 4 15 or 5 tan x°¬ a b 9 3 12 or 4 b c 12 4 15 or 5 28. tan G 0.60 b ¬a b c 24 25 cos G b c 24 25 x B 1000 ft tan x°¬ tan F¬ ¬ a b 7 ¬ 24 0.96 cos F 0.28 sin G D Let x represent m ABC. The ground and the horizontal level with the initial point of the balloon are parallel. Therefore, m DAB m ABC since they are alternate interior angles. ¬ 12 or 4 9 3 ¬1.33 22. sin F 100 240 A C a c 9 3 15 or 5 a c 7 25 1 50 ft 0.80 cos G tan x¬ 22.6 The angle of depression is about 22.6°. 0.75 sin G 100 240 x¬ 0.80 tan F B 240 ft Let x represent m ABC. The ground and the horizontal level with the top of the escalator are parallel. Therefore, m DAB m ABC since they are alternate interior angles. 0.60 cos F C 500 yd z ¬0.29 b tan G ¬ a a c 7 25 x¬ 50 1000 tan 1 50 1000 x¬ 2.9 The angle of depression is about 2.9°. 29. ¬ 24 7 ¬3.43 0.96 0.28 23. sin P 0.4522 P sin 1(0.4522) KEYSTROKES: 2nd [SIN 1] 0.4522 ENTER m P 26.9 24. cosQ 0.1673 Q cos 1(0.1673) KEYSTROKES: 2nd [COS 1] 0.1673 ENTER m Q 80.4 25. tan R 0.9324 R tan 1(0.9324) KEYSTROKES: 2nd [TAN 1] 0.9324 ENTER m R 43.0 A 30 yd 44 C x B Let x represent the length of the shadow of the building, BC. tan44°¬ 30 x x tan44°¬ 30 30 x¬ tan 44° x¬ 31.1 The shadow is about 31.1 yards long. 233 Chapter 7 ...
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