Mathematics - Properties of Triangle Question with Solution | TestHub

Let $h$ be the height reached by the ladder on the wall. The length of the ladder is the hypotenuse of the right-angled triangle formed by the wall, the ground, and the ladder. We have $\sin 60^{\circ }=\frac{h}{10}$. So, $h=10\sin 60^{\circ }=10\left(\frac{\sqrt{3}}{2}\right)=5\sqrt{3}\text{ m}$.