Answer
$a \approx 9.177$
$b \approx 13.11$
Angle B= $55^{\circ}$.
Work Step by Step
$\sin 35^{\circ}=\dfrac{Opposite}{Hypotenuse}=\dfrac{a}{16}$
This gives: $a \approx 9.177$
and $\cos 35^{\circ}=\dfrac{Adjacent}{Hypotenuse}=\dfrac{b}{16}$
This gives: $b \approx 13.11$
Since, the triangle is $180^{\circ}$ and the right angle is $90^{\circ}$:
Angle A is $35^{\circ}$, thus Angle B must be $55^{\circ}$.
