Question

9. A roof's cross section forms a right angle. Consider the diagram below that shows the approximate dimensions of this cross section. R 8.9 m 4.1 m h FL S o 7.9 m a. Identify the similar triangles represented in the above figure. b. Find the heighth of the roof represented above.

Answer 1

Procedure

Similar triangles

SRF = ROF

Height h

The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle.

$\begin{gathered} h=\sqrt[]{8.9^2-7.9^2} \\ h=\sqrt[]{16.8} \\ h=4.1\text{ m} \end{gathered}$