Two persons are on diametrically opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30^\circ and 60^\circ respectively. If the height of the tower is 100 m, what is the approximate distance between the two persons ?
- A. 220 m
- B. 225 m
- C. 230 m ✓
- D. 235 m
Correct Answer: C. 230 m
Explanation
Distance = 100\cot 30^\circ + 100\cot 60^\circ = 100\sqrt{3} + \frac{100}{\sqrt{3}} = 100(1.732) + 100(0.577) = 173.2 + 57.7 = 230.9 m. The closest option is 230 m.
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