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 elder children. She wants to have a steep slide at a height of 6 m, and inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide (in m)?

Options:

A . 3

\sqrt{3}

m

B . 5 m

C . 4

\sqrt{3}

m

D . 6 m

Answer: Option C
:
C

The above figure represents the given situation.
In the given right-agled triangle,
$s i n (∠ A C B) = \frac{A B}{A C} \Rightarrow s i n 60^{\circ} = \frac{6}{A C} \Rightarrow A C = \frac{6}{\frac{\sqrt{3}}{2}} = \frac{12}{\sqrt{3}} = 4 \sqrt{3} m ∴ l e n g t h o f s l i d e = 4 \sqrt{3} m$

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