A tree breaks down at some point and touches the ground with the tip making 30° angle with the ground. If the tree is 30 m long; find how high from the ground it broke (in meters).
Explanation:
Let the tree broke at a height of x meters from the ground i.e., BC = x.
∴ AC = 30 – x.
In ∆ABC, sin30° = 1/2 = BC/AC
⇒ AC = 2BC
⇒ 30 – x = 2x
⇒ x = 10 meters.
Hence, option (d).
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