David is trying to build a doghouse. The roof of the house needs to have a pitch (an angle...

David is trying to build a doghouse. The roof of the house needs to have a pitch (an angle of elevation) of 50°. To frame the roof, he finds one piece of wood 4 feet long and uses it for one side of the roof and nails it in place. His brother Mike finds anoth-er similar piece of wood 3 feet long to be used for the side across from the 50° angie, for the other side of the roof. Is the 3-foot piece of wood long enough? Explain why or why not.