Answer
Chapter 2 - Section 2.3 Problem Set: 38 (Answer)
Refer to Figure I
$B = 32.17^{\circ}$ (To four significant digits)
$A = 57.83^{\circ}$ (To four significant digits)
$b = 39.19$ cm (To four significant digits)
Work Step by Step
Chapter 2 - Section 2.3 Problem Set: 38 (Solution)
Refer to Figure I
$\cos B = \frac{a}{c}$
$B = \cos^{-1} (\frac{62.3}{73.6})$
$B = 32.17^{\circ}$ (To four significant digits)
$\sin A = \frac{a}{c}$
$A = \sin^{-1} (\frac{62.3}{73.6})$
$A = 57.83^{\circ}$ (To four significant digits)
By Pythagoras' Theorem
$a^2$ + $b^2$ = $c^2$
$b^2$ = $73.6^2$ - $62.3^2$
$b$ = $\sqrt{(73.6^2 - 62.3^2)}$
$b = 39.19$ cm (To four significant digits)
