Question 239234
You have an equalateral triangle of x+5 on each side.
Using the pythagorean formula where (x+5) is the hypotenuse,
one side is x the height of the pole, and (x+5)/2, which is the side opposite the 30 degree angle, or 1/2 the hypotenuse,

(x=5)^2 = x^2 + ((x+5)/2)^2

solving for x = 5/(.414) = 12.077' or 144.9"