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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∘ 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
A Contractor Plans To Install Two Slides For The Children To...
In right-angled triangle ABC,
sin∠ABC=ACAB=12⇒sin30∘=2AB⇒AB=212⇒AB=4m∴Lengthoftheslideis4m.

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