Problem 563

A ladder is leaning up against a 10-foot wall at an angle of elevation of 65°. How far is the foot of the ladder from the wall? Round your answer to the nearest tenth of a foot.



Use the trigonometric ratios and SOH-CAH-TOA to solve for the missing side length.

tan65 = \frac{10}{x}

x = 4.7 feet


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