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 \(1.6\ m\) 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 the slide for below the age of \(5\) years is
 
Length of the slide for elder children is
Answer variants:
5.2
5.16
3.2
3.46
8.2