Question

Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the Sun is more than 65°. See the figure. Find the length L of the awning.

Short answer

The length of the awning is 38.5 inches.

Step-by-step solution

Step 1. Given Information

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.

The awning prevents the Sun from entering the house when the angle of elevation of the Sun is more than 65°.