Question

A contractor plans to install two slides for the children to play in a park. 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?

• A. 3 m
• B. 1.5 m
• C. 2 m
• D. 9 m

Answer 1

The correct option is C

2 m

The given situation can be represented by the figure below

In right-angled traingle ABC,
$sin\angle ABC=\frac{AC}{AB}\Rightarrow sin{60}^{\circ }=\frac{\sqrt{3}}{AB}\Rightarrow AB=\frac{\sqrt{3}}{\frac{\sqrt{3}}{2}}\Rightarrow AB=2m\therefore \text{Length of the slide is 2 m.}$