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 2m and is inclined at an angle of ${30}^{\circ }$ to the ground. What should be the length of the slide (in m)?

• A. 3
• B. 1.5
• C. 2
• D. 9

Answer 1

The correct option is D

9

The given situation can be represented by the figure below

In right-angled triangle ABC,
$sin\angle \text{ABC}=\frac{\text{AC}}{\text{AB}}=\frac{1}{2}\Rightarrow sin{30}^{\circ }=\frac{2}{AB}\Rightarrow \text{AB}=\frac{2}{\frac{1}{2}}$
$\Rightarrow$ AB = 4m
$\therefore$ Length of the slide is 4m.