Answer
$36^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
Our aim is to find the angle the rope makes with the pole.
So, $\sin \theta= \dfrac{opposite}{hypotenuse}$
or, $\theta=\sin^{-1} \dfrac{43}{73}$
or, $\theta =36^{\circ}$
