SOLUTION: While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209ft and the angle of depression is 53°, how many feet mus

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Question 1204983: While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209ft and the angle of depression is 53°, how many feet must Lisa ski in order to reach the lodge? (If necessary, round answer to nearest 10th.)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


use the Law of Sine to find the length of hypotenuse h
sin%2853%29=1209ft%2Fh
h=1209ft%2Fsin%2853%29
h=1209ft%2F0.7986355100472928
h=1513.8320107108768ft
h=1513.8ft

Lisa must ski 1513.8ft in order to reach the lodge.