Question

A stepladder has an angle of elevation of 60° with the front of the house. The length of the stepladder is 24 feet. At what height does the stepladder meet the house?

Answer 1

20.78 feets

Explanation:

Based on the solution diagram attached below :

The height at which the step ladder meets the house can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin θ = h / 24

Sin 60 = h / 24

0.8660254 = h/24

Height, h = 0.8660254 * 24

Height, h = 20.78 feets