Question

A carpenter wants to construct a simple cabin with a pitched roof. The inside height of this A-frame cabin next to the wall must be 8 feet high. The owner wants the inside height of the roof in the middle of the room(at the highest point) to be 12 feet high. The owner wants the slope of the roof to be 1/3 for every 3 feet you travel horizontally towards the middle of the roof, you go up 1 feet vertically. How wide then must the cabin be? Please show steps

Answer 1

Given that the height of the cabin next to the wall is 8 feet and the height of the roof in the middle of the room is 12 feet.

Also, the slope of the roof is to be 1/3 for every 3 feet moving horizontally towards the middle of the roof and for every 3 feet moving the height increases 1 feet.

Then, the width of the cabin is = 2*[(12-8)*3] feet = 24 feet.