Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation α at a point O on this line and all the poles are on the same side of O . If the height of the longest pole is h and the distance of the foot of the smallest pole from O is a ; then the distance between two consecutive poles, is

Question

Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation α at a point O on this line and all the poles are on the same side of O . If the height of the longest pole is h and the distance of the foot of the smallest pole from O is a ; then the distance between two consecutive poles, is, h sin α + a cos α 9 cos α, h cos α - a s i n α 9 sin α, h sin α + a cos α 9 sin α, h cos α - a sin α 9 cos α

MARKS App · Accepted Answer

from diagram tan α = h a + 9 b a + 9 b = h cos α sin α 9 b = h cos α - a sin α sin α b = h cos α - a sin α 9 sin α

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