Question

Constructing a Highway U.S. 41, a highway whose primary directions are north–south, is being constructed along the west coast of Florida. Near Naples, a bay obstructs

the straight path of the road. Since the cost of a bridge is prohibitive, engineers decide to go around the bay. The illustration shows the path that they decide on and the measurements taken. What is the length of highway needed to go around the bay?

Short answer

The total length of the highway that is needed to go around the bay is 2.654 miles.

Step-by-step solution

Step 1. Given Information

Engineers are constructing a way around a bay on the highway.

U.S. 41, a highway whose primary directions are north–south, is being constructed along

the west coast of Florida. Near Naples, a bay obstructs the straight path of the road.