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…

Question

Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation &#945; 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

Aicharya · Accepted Answer

from diagram tan &#945; = h a + 9 b a + 9 b = h cos &#945; sin &#945; 9 b = &#160; h cos &#945; - a sin &#945; sin &#945; b = h cos &#945; - a sin &#945; 9 sin &#945;

Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation…

Solution