## Trigonometry (11th Edition) Clone

The three cities form a triangle. We can find the angle $C$ at Macon: $C = 27^{\circ}+63^{\circ} = 90^{\circ}$ The triangle is a right triangle. We can find the distance $a$ from Macon to Augusta: $a = (62~mph)(1.25~hr) = 77.5~mi$ We can find the distance $c$ from Atlanta to Augusta: $\frac{a}{c} = sin~63^{\circ}$ $c = \frac{a}{sin~63^{\circ}}$ $c = \frac{77.5~mi}{sin~63^{\circ}}$ $c = 87~mi$ The distance from Atlanta to Augusta is 87 miles