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Pre-Calculus Homework Solutions 220

# Pre-Calculus Homework Solutions 220 - 35 The plot of land...

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35. The plot of land is an isosceles triangle. Let x represent the measure of one of the base angles. x x 85 ¬ 180 2 x 85 ¬ 180 2 x ¬ 95 x ¬ 47.5 Let y represent the length of the base of the triangle. sin 1 4 6 7 0 .5° ¬ sin y 85° y sin47.5° ¬ 160sin85° y ¬ 1 s 6 i 0 n s 4 i 7 n . 8 5 5 ° ° y ¬ 216 The perimeter of the property is about 160 160 216 or 536 feet, so 536 feet of fencing material is needed. 36. m K m J m P ¬ 180 40 27 m P ¬ 180 67 m P ¬ 180 m P ¬ 113 1 si 4 n 3 P 3 ¬ sin j J si 1 n 4 1 3 1 3 ¬ sin j 27° j sin113° ¬ 1433sin27° j ¬ 14 s 3 in 3s 1 i 1 n 3 2 ° j ¬ 706.8 Kayla and Paige are about 706.8 meters apart. 37. See art for Exercise 36. 1 si 4 n 3 P 3 ¬ sin k K si 1 n 4 1 3 1 3 ¬ sin k 40° k sin113° ¬ 1433sin40° k ¬ 14 s 3 in 3s 1 i 1 n 3 4 ° k ¬ 1000.7 Jenna and Paige are about 1000.7 meters apart. 38. m A m B m C ¬ 180 27 124 m C ¬ 180 151 m C ¬ 180 m C ¬ 29 sin a A ¬ si 6 n 0 C sin a 27° ¬ sin 6 2 0 60sin27° ¬ a sin29° 60 si s n in 29 2 ° ¬ a 56.2 ¬ a Keisha must fly about 56.2 miles.
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