Trigonometrymedium · Past Paper
A tree breaks due to a storm and the broken part bends so that the top touches the ground making an angle of 30° at a distance of 10 m from the foot. Find the original height of the tree.
A10√3 m
B20√3 m
C10(√3+1) m
D10√3 (1 + 2/√3) m
✓ Correct Answer: A — 10√3 m
Let x be the height of the stump and y the broken part. tan 30 = x/10 => x = 10/√3. cos 30 = 10/y => y = 20/√3. Total = 30/√3 = 10√3 m.
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