Chapter 2 - Section 2.3 - Solving Right Triangles - 2.3 Problem Set - Page 80: 41

$x = 11$ units

1. Find $CD$ $sin(31) = \frac{12}{12+x}$ $12sin(31) + xsin(31) = 12$ $(6.180...) + xsin(31) = 12$ $xsin(31) = (5.8195...)$ $x = \frac{(5.8195...)}{sin(31)}$ by GDC / calculator $x = 11.2992...$ units $x = 11.3$ units $x = 11$ units