10. Exercise problems III

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?

 

length of each sides are