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in Trigonometry by (65.5k points)

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

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Best answer

(i) AB = 1.5 m., AC = l1 m., ∠ACB = 30° 

In ⊥∆ABC, ∠B = 90°

∴ l1 = 2 × 1.5 = 3 m 

∴ Length of slide of younger children = 3 m 

(ii) PQ = 3 m, OP = 12 m, ∠POQ = 60° 

In ⊥∆PQR, ∠Q = 90°

∴ Length of slide of elder children = 2√3m

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