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 √3m and is inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide?

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Solution

The correct option is C
2

The given situation can be represented by the figure below

In right-angled traingle ABC,
$s i n ∠ A C B = \frac{A C}{A B} = \frac{(\sqrt{3})}{2} \Rightarrow s i n 60^{\circ} = \frac{\sqrt{3} m}{A B} \Rightarrow A B = \frac{\sqrt{3}}{\frac{\sqrt{3}}{2}} \Rightarrow A B = 2 m ∴ L e n g t h o f t h e s l i d e i s 2 m .$

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Similar questions

Q. 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 √3m and is inclined at an angle of

60^{\circ}

to the ground. What should be the length of the slide?

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, he prefers to have a slide whose top is at a height of √3 m and is inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide?

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 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)?

Q. Question 3
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 1.5 m and is inclined at an angle of

30^{\circ}

to the ground whereas for elder children she wants to have a steep slide at a height of 3 m and inclined at an angle of

60^{\circ}

to the ground. What should be the length of the slide in each case?

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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 √3m and is inclined at an angle of 60∘ to the ground. What should be the length of the slide?

The correct option is C 2 The given situation can be represented by the figure below In right-angled traingle ABC, sin∠ACB=ACAB=(√3)2⇒sin60∘=√3mAB⇒AB=√3√32⇒AB=2m∴Length of the slide is 2m.

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 √3m and is inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide?