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