Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 528: 33

$x \approx 15.9$ ft

1. Find the missing angle of the small triangle $= 180 - (30 + 65)$ $= 180 - 95$ $= 85^{\circ}$ 2. Use the Law of Sines to find $x$ $\frac{x}{sin(85)} = \frac{8}{sin(30)}$ $x = \frac{8sin(85)}{sin(30)}$ by GDC / calculator $x = 15.93911...$ ft $x \approx 15.9$ ft