Question

a ladder leans against a building forming an angle of 56 degrees with the ground.The base of the ladder is 3 feet from the building. Use the cosine to determine the length of the ladder.

Answers

They even told what to do with this right-angled triangle.
Did you make a sketch of the situation, then

cos 56° = 3/x , where x is the length of the ladder
x = 3/cos 56° = ...

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