A 27-ft ladder leans against a building so that the angle between the ground and the ladder is 82º.How high does the ladder reach on the building? ___ft

Question

A 27-ft ladder leans against a building so that the angle between the ground and the ladder is 82º.How high does the ladder reach on the building? ___ft

Answer 1

We can assume the angle between the building and the ground is a right angle. Using the identity sin(θ) = opposite/hypotenuse, it's easy to solve. (hypotenuse) * sin(82) = opposite, or 27sin(82) = opposite.