In another attempt to determine the height of the flagpole, a metre stick was placed vertically beside the flagpole. When the flagpole’s shadow was 36.72 m long, the metre stick’s shadow was 3.06 m long. Find the height of the flagpole.

Answer 1

This is a similar triangle proportional equation.
x/1m = 36.72/3.06
or if you want to use the tangent ratio in the smaller triangle you can use the angle found
tanx =1/3.06
and apply it to the larger triangle.