You have 5 horses and want to make a new shelter for them. You decide to make a shelter 60 feet wide and 12 feet deep. The height of the roof will be 8 feet in the back and slope up to the front. The slope of the roof will be between 30∘ and 45∘. You will be roofing it with a material that costs $0.89 per square foot. a. When you place the posts in the ground you want to make sure they will form right angles. How can you do this mathematically?
b. The lowest point of the roof is in the back at 8 feet and the highest point of the roof will be in the front. What are the minimum and maximum heights of the front?
c. Which would cost more to build, a steep roof or shallow roof? How do you know?