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A contractor plans to install 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 1.5 m and is inclined at an angle of 30° to the ground. What should be the length of the slide?

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1 m

2 m

3 m

4 m

answer is C.

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Detailed Solution

Let, ABC is the slide inclined at 30° and the length be AC.

In right ΔABC,

sin 30° = $\frac{A B}{A C}$

$\Rightarrow$ $\frac{1}{2}$ = $\frac{1.5 m}{A C}$

$\Rightarrow$ AC = 3 m is our answer.

$∴$ The length of the slide = 3 m.

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