Answer
Chapter 2 - Section 2.3 Problem Set: 25 (Answer)
Drawing : Refer to Figure I
$\angle B$ = $57.4^{\circ}$
$c = 80.6$ inches (To three significant digits)
$b = 67.9$ inches (To three significant digits)
Work Step by Step
Chapter 2 - Section 2.3 Problem Set: 25 (Solution)
Drawing : Refer to Figure I
$\angle A$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ ($\angle$ sum of $\triangle$)
$32.6^{\circ}$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$
$\angle B$ = $57.4^{\circ}$
$\sin 32.6^{\circ} = \frac{a}{c}$
$c = \frac{43.4}{\sin 32.6^{\circ}}$
$c = 80.6$ inches (To three significant digits)
$\cos 32.6^{\circ} = \frac{b}{c}$
$b = 80.6 \cdot \cos 32.6^{\circ}$
$b = 67.9$ inches (To three significant digits)
