JEE Main 2015 Mathematics question
Not in JEE syllabus
Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation at a point on this line and all the poles are on the same side of . If the height of the longest pole is and the distance of the foot of the smallest pole from is ; then the distance between two consecutive poles, is
Answer: (2)
Solution
Let the common spacing be . Since all ten poles subtend the *same* angle at , a pole whose foot is at distance from must have height — so the farther the pole, the taller it is. The nearest pole is therefore the smallest, at distance , and the farthest is the longest, at
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