Answer
$37$ inches
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
Since, $\theta=61^{\circ}$
Then $\sin 48^{\circ}= \dfrac{a}{50}$
So, $ a =50 \times \sin 48^{\circ}$
Our required answer is: $ a \approx 37$ inches