Question

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of √3m and is inclined at an angle of ${60}^{\circ }$ to the ground. What should be the length of the slide?

Answer 1

The given situation can be represented by the figure below

In right-angled traingle ABC,
$\sin \angle ACB=\frac{AC}{AB}=\frac{\left(\sqrt{3}\right)}{2}\Rightarrow \sin {60}^{\circ }=\frac{\sqrt{3}m}{AB}\Rightarrow AB=\frac{\sqrt{3}}{\frac{\sqrt{3}}{2}}\Rightarrow AB=2m$

Therefore. the length of the slide is $2m$.