A contractor plans to install two slides for the children to play in a park for elder children. She wants to have a steep slide at a height of 6 m and inclined at an angle of 60∘ to the ground. What should be the length of the slide (in m)?
4√3
The above figure represents the given situation.
In the given right-angled triangle,
sin(∠ACB)=ABAC⇒sin 60∘=6AC⇒AC=6√32=12√3=4√3 m∴length of slide=4√3 m