Answer to Question #144208 in Geometry for Bonevie tutor

Question

A single lane street 12ft wide goes through a semicircular tunnel with radius 10ft. How high is the tunnel at the edge of each lane?

Answer 1

Let $r=10$ ft, $l=12$ ft.

$h=\sqrt{r^2-(\frac l2)^2}=\sqrt{10^2-6^2}=8$ ft.