Answer to Question #266587 in Geometry for Sssss

Question

A single-lane street, 12 feet wide goes through a semi-circular tunnel with a radius of 10 feet. 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.