alleryA pole of height 10 m makes an angle of elevation of 30 degrees at a point on the ground. The distance of the point from the foot of the pole is
A20 m
B10/(square root of 3) m
C10 (square root of 3) m
D5 m
Answer & Solution
Correct answer: C. 10 (square root of 3) m
1. tan(30) = pole/distance, so distance = 10 / tan(30).
2. tan(30) = 1/(square root of 3).
3. Distance = 10 × (square root of 3) = 10 (square root of 3) m.
_Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_
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