Answer
Chapter 2 - Section 2.3 Problem Set: 37 (Answer)
Refer to Figure I
$A = 50.12^{\circ}$ (To four significant digits)
$B = 39.88^{\circ}$ (To four significant digits)
$a = 451.6$ inches (To four significant digits)
Work Step by Step
Chapter 2 - Section 2.3 Problem Set: 37 (Solution)
Refer to Figure I
$\cos A = \frac{b}{c}$
$A = \cos^{-1} (\frac{377.3}{588.5})$
$A = 50.12^{\circ}$ (To four significant digits)
$\sin B = \frac{b}{c}$
$B = \sin^{-1} (\frac{377.3}{588.5})$
$B = 39.88^{\circ}$ (To four significant digits)
By Pythagoras' Theorem
$a^2$ + $b^2$ = $c^2$
$a^2$ = $588.5^2$ - $377.3^2$
$a$ = $\sqrt{(588.5^2 - 377.3^2)}$
$a = 451.6$ inches (To four significant digits)
