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

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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?

Options:

A . 3 m

B . 1.5 m

C . 2 m

D . 4 m

Answer: Option D
:
D

The given situation can be represented by the figure below

In right-angled triangle ABC,
$s i n ∠ A B C = \frac{A C}{A B} = \frac{1}{2} \Rightarrow s i n 30^{\circ} = \frac{2}{A B} \Rightarrow A B = \frac{2}{\frac{1}{2}} \Rightarrow A B = 4 m ∴ L e n g t h o f t h e s l i d e i s 4 m .$

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