A tunnel in the Smoky Mountains is semicircular. At a distance of 12 feet from the center of the tunnel, the tunnel has a height of 16 feet. How many feet tall is the tunnel at its center?

Middle School (8th grade)

Best regards,


Hi Charles,

Here is a cross sectional view of the tunnel dome

The triangle QCP is a right triangle so you can use Pythagoras Theorem to find the length of CQ.

Does this help?