Answer
$B=62.0^{\circ}$
$a=8.17\,ft$
$b=15.4\,ft$
Work Step by Step
The sum of angles in a triangle is $180^{\circ}$.
$\implies$ Angle $B=180^{\circ}-(90^{\circ}+28.0^{\circ})=62.0^{\circ}$
$\sin A=\sin 28.0^{\circ}=\frac{\text{opposite side}}{\text{hypotenuse}}=\frac{a}{17.4\,ft}$
$\implies a=\sin 28.0^{\circ}\times17.4\,ft=8.17\,ft$
$\cos A=\cos 28.0^{\circ}=\frac{\text{adjacent side}}{\text{hypotenuse}}=\frac{b}{17.4\,ft}$
$\implies b=\cos 28.0^{\circ}\times17.4\,ft=15.4\,ft$
