A 20 ft. extension ladder leans up to a building at a 65 degree angle with the ground. How high up does the ladder reach?
8.452 feet
We know an angle, the hypoteneuse, and we're looking for the opposite side. So we have:
sin(65) = opp / 20 Multiplyimg both sides by 20, we have
20*sin(65) = opp ≈ 18.13 ft.