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**A 20 ft ladder is placed next to a building. The ladder forms a 72° angle with the ground. How far is base of the ladder from the base of the building? Round your answer to the nearest tenth of a foot. Show your work.**

Please give a step by step explaition, I remeber learning this and solving with Tan, Cos, and Sin equations but can't rember how to set the equation up correctly. Thank you so much for your time and help!

KennedyPape Mar 4, 2019

#1**+4 **

The ladder forms the hypotenuse of a right triangle

We know an angle and we are looking for the adjacent side to this angle

So....the cosine = adjacent / hypotenuse

So we have

cos (72°) = adj / 20 multiply both sides by 20

20 cos (72°) = adj ≈ 6.18 ft = 6.2 ft from the building base

CPhill Mar 4, 2019