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

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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 1.5  m, and is inclined at an angle of 30^∘ 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^∘ to the ground. What should be the length of the slide in each case?

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