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An 80-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.
To find the height, H, we can use :
sin (45°) = H / 80 rearrange as
H = 80 * sin (45°) ≈ 56.6 ft