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!

 Mar 4, 2019

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


cool cool cool

 Mar 4, 2019

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