Question

A lean-to is a simple shelter with three walls, a sloping roof, and an open front facing away from the prevailing winds. The back wall is short compared to the front opening. If the lean-to at a campsite has a front opening that is 7.0 ft tall, a back wall that is 2.0 ft tall, and a floor that is 11 ft deep, what angle does the roofline make with the ground?

Answer 1

as always, draw a diagram. Since the front is 5' taller than the back, the angle you want is θ, such that

tanθ = 5/11