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A person of height 6ft. wants to pluck a fruit which is on a (26 / 3) ft. high tree. If the person is standing (8 / √3) ft. away from the base of the tree, then at what angle should he throw a stone so that it hits the fruit?
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- 75°
- 30°
- 45°
- 60°
Correct Option: B
| AB = Tree = | feet | 3 |
BE = CD = 6 feet
| AE = AB – BE = | - 6 | 3 |
| = | = | feet | 3 | 3 |
| DE = BC = | feet | √3 |
From ∆AED
| tan θ = | = | ED | (8 / √3) |
| = | × | = | 3 | 8 | √3 |
