Question

A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.

Answer 1

h^2+y^2=144
(37-y)^2+h^2=35^2
Solve for y which is that small line in the 37. Y=3.89
Then h^2+3.89^2=144
Solve for h=11.4