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 3m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?

3 years ago

Solution:

According to the contractor’s plan,

Let ABC be a 30° inclined slide with length AC, and PQR be a 60° inclined slide with length PR.

We need to Find: AC and PR

In right angle ΔABC,

AB/AC = sin 30°

1.5/AC =1/2

AC = 3

Also,

In right angle ΔPQR,

PQ/PR = sin 60°

⇒ 3/PR = √3/2

⇒ PR = 2√3

As a result, for below 5 length of the slide = 3 m and

For elder children length of the slide = 2√3 m