4. building code does not permit building a house that is more than
35 feet tall. An architect working on the design shown at right would like
the roof to be sloped so that it rises 10 inches for each foot of horizontal
run.
(a) Given the other dimensions in the diagram, will the builder be allowed
to carry out his plan?
(b) Two vertical supports (shown dotted in the diagram) are to be placed
6 feet from the center of the building. How long should they be?