## Trigonometry (11th Edition) Clone

The three cities form a triangle. We can find the angle $C$ at Danville: $C = 42^{\circ}+48^{\circ} = 90^{\circ}$ The triangle is a right triangle. We can find the distance $a$ from Winston-Salem to Danville: $a = (65~mph)(1.1~hr) = 71.5~mi$ We can find the distance $b$ from Danville to Goldsboro: $b = (65~mph)(1.8~hr) = 117~mi$ We can find the distance $c$ from Winston-Salem to Goldsboro: $c^2 = a^2+b^2$ $c = \sqrt{a^2+b^2}$ $c = \sqrt{(71.5~mi)^2+(117~mi)^2}$ $c = 137~mi$ The distance from Winston-Salem to Goldsboro is 137 miles