Question

A ladder is leaning on a wall. The ladder is 45 feet long. The angle formed by the ladder and the ground is 32. How far does the ladder reach up the wall?

Answer 1

23.85 feets

Explanation:

Given that :

Length of ladder, L = 45 feets

Angle formed by ladder and ground, θ = 32°

Using trigonometry :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 45

Sin 32 = h / 45

0.5299192 * 45 = h

23.846366 = h

Hence, height of ladder = 23.85 feets