Case I When contractor installs slide for children below the age of 5 years then its height AB = 1.5 m and ∠ACB = 30°
Let length of slide AC = x m
From right angled ∆ABC
sin 30° = AB/AC
⇒ 1/2 = 1.5/x
⇒ x = 1.5 × 2
∴ AC = 3 m
Case II. When contractor installs slide for children above the age of 5 years then its height PQ = 3 m and ∠PRQ = 60°
Let length of slide PR = y m
From right angled ∆PQR
Hence, length of slide for children below the age of 5 years = 3 m and above the age of 5 years = 2√3 m.