## Trigonometry (11th Edition) Clone

$A=42^{o}7^{\prime}$ $a=269.96$ m $c=402.54$ m
First, the other angle, A: $A+B=90^{o}$ $A=90^{o}-B$ $A=90^{o}-47^{o}53^{\prime}$ $=42^{o}7^{\prime}$ b is opposite to angle B, a is adjacent to B: $\displaystyle \tan B=\frac{b}{a}$, solve for a $a=\displaystyle \frac{b}{\tan B}$ $a=\displaystyle \frac{298.6}{\tan 47^{o}53^{\prime}}\approx$269.963619964$\approx 269.96$ m b is opposite to angle B, c is the hypotenuse: $\displaystyle \sin B=\frac{b}{c}$, solve for c $c=\displaystyle \frac{b}{\sin B}$ $c=\displaystyle \frac{298.6}{\sin 47^{o}53^{\prime}}\approx$402.54480012$\approx 402.54$ m