Answer
Chapter 2 - Section 2.3 Problem Set: 23 (Answer)
Drawing : Refer to Figure I
$\angle B$ = $65^{\circ}$
$a = 10 m$ (To two significant digits)
$b = 22 m$ (To two significant digits)
Work Step by Step
Chapter 2 - Section 2.3 Problem Set: 23 (Solution)
Drawing : Refer to Figure I
$\angle A$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ ($\angle$ sum of $\triangle$)
$25^{\circ}$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$
$\angle B$ = $65^{\circ}$
$\sin 25^{\circ} = \frac{a}{c}$
$a = 24 \cdot \sin 25^{\circ}$
$a = 10 m$ (To two significant digits)
$\cos 25^{\circ} = \frac{b}{c}$
$b = 24 \cdot \cos 25^{\circ}$
$b = 22 m$ (To two significant digits)