Question

A kite is flying 80 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 40°. Find the length of the string. Round your answer to the nearest tenth.

Answer 1

Answer: 124.5 feet

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Work Shown:

Refer to the diagram below.

sin(angle) = opposite/hypotenuse

sin(40) = 80/x

x*sin(40) = 80

x = 80/sin(40)

x = 124.4579 approximately

x = 124.5