Answer
Chapter 2 - Section 2.3 Problem Set: 33 (Answer)
Refer to Figure I
$\angle A$ = $66.55^{\circ}$
$b = 2.356$ mi (To four significant digits)
$c = 5.921$ mi (To four significant digits)
Work Step by Step
Chapter 2 - Section 2.3 Problem Set: 33 (Solution)
Refer to Figure I
$\angle A$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ ($\angle$ sum of $\triangle$)
$\angle A$ + $23.45^{\circ}$ + $90^{\circ}$ = $180^{\circ}$
$\angle A$ = $66.55^{\circ}$
$\tan 23.45^{\circ} = \frac{b}{a}$
$b = 5.432 \cdot \tan 23.45^{\circ}$
$b = 2.356$ mi (To four significant digits)
$\cos 23.45^{\circ} = \frac{a}{c}$
$c = \frac{5.432}{\cos 23.45^{\circ}}$
$c = 5.921$ mi (To four significant digits)
