Question

A ladder leans against a building. The angle of elevation of the ladder is 70 degrees. The top of the ladder is 25ft from the ground.

To the nearest tenth of a foot, how long is the ladder?

Answer 1

Using law of sines:

Sin(angle) = opposite leg (height) / hypotenuse ( length of ladder)

Sin(70) = 25/x

x = 25 * sin(70)

x = 26.6 feet