Answer
$63.39 cm$
Work Step by Step
Let us consider $x$ to be the distance.
Since, $\sin \theta=\dfrac{Opposite}{Hypotensue}=\dfrac{x}{150}$
or, $\sin 25^{\circ}=\dfrac{x}{150}$
This gives: $ x =150 \sin 25^{\circ}$
or, $x \approx 63.39 cm$