## Algebra and Trigonometry 10th Edition

$A=73.46°$ $B=16.54°$ $C=90°$ $a=52.88$ $b=15.70$ $c=55.16$
$c^2=a^2+b^2$ $55.16^2=a^2+15.70^2$ $a^2=55.16^2-15.70^2$ $a=\sqrt {55.16^2-15.70^2}=52.8785$ $sin~A=\frac{opp}{hyp}=\frac{a}{c}=\frac{52.8785}{55.16}$ $A=arcsin(\frac{52.8785}{55.16})=73.46°$ $sin~B=\frac{opp}{hyp}=\frac{b}{c}=\frac{15.70}{55.16}$ $B=arcsin(\frac{15.70}{55.16})=16.54°$ $C=90°$ because it is a right triangle.