ABCDEF is a regular polyogn.Two poles at C and D are standing vertically and subtend angles of elevation 30⁰ and 60⁰ at A respectively. What is the ratio of height of the pole at C to that of the pole at D?

a regular hexagon has six eqilateral sides joining opposite vertices. let 'x' be the side of hexogon . so AD=2x -------->{AD is sum of sides AO+OD} and
AC=(root3)x ------->{AC is sum of heights of equilateral triangles ABO and BOC} let height of pole at C be 'h1' as it for D be 'h2' then
tan60=h2/2x
tan30=h1/(root3)x
solving......
h1:h2=2root3:1