### Home > APCALC > Chapter 7 > Lesson 7.2.2 > Problem 7-67

7-67.

The city planning commission has set aside funds to build a bridge going north and south across the Newton River. To save money, they have agreed to build the shortest bridge possible. A map for the *x *is the number of miles east of City Hall and *y* is the number of miles north of City Hall. Determine the location for the shortest bridge that will span the Newton River.

**North Bank:** **South Bank:**

At any give value of , the distance between the North and South Banks is:

Optimize.