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23 February, 14:06

A 20 foot ladder is leaning against the outside of the house while a painter is painting. The ladder makes an angle of 72∘ with the ground. What is the distance between the foot of the ladder and the house? Round your answer to the nearest foot.

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  1. 23 February, 14:27
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    Answer:19

    Step-by-step explanation:

    since the angle is 72° and the ladder is 20 foot, then our hypothenus side is 20foot and we are to find the opposite side of the triangle.

    Sinθ = opp / hyp

    Sin72° = opp/20

    cross multiply

    Opp = 20 * sin 72°

    = 20 * 0.951

    =19.02

    =19 to the nearest foot.
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