A contractor plants 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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