You are standing 50 feet from the base of a 100-foot-tall frozen waterfall. Your friend is rappelling down the ice face. Use a graphing calculator to determine the angle of elevation θ when your friend has rappelled 75% of the way down the cliff. Round your answer to the nearest tenth of a degree.

Question

Mathematics

Isla Ball

13 March, 09:56

You are standing 50 feet from the base of a 100-foot-tall frozen waterfall. Your friend is rappelling down the ice face. Use a graphing calculator to determine the angle of elevation θ when your friend has rappelled 75% of the way down the cliff. Round your answer to the nearest tenth of a degree.

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Answers (1)

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Alfredo Vang · Answer 1

26.6 degrees.

Step-by-step explanation:

75% down the waterfall brings the friend to (100 - 75) = 25 feet above the ground.

tan θ = 25/50 = 1/2.

θ = 26.6 degrees.