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The ladder forms the hypotenuse (r) and the wall forms the vertical (y) of a right triangle. sin theta = y / r the angle at the bottom is (90 - 32) = 58

sin 58 = 20 / r

r = 20 / sin 58 = 23.583568067241928552025478405751 feet

ladder must be about (rounding) 23.6 feet long.

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Q: How long must a ladder be to reach to top of a 20 foot wall if the ladder and the top wall form a 32 degree angle at the top in a plus?
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