From the top of a building 85ft high, the angle of elevation of the top of a vertical pole is 11 degree 6'. At the bottom of the building the angle of elevation of the top of the pole is 26 degree 7'. Find the height of the pole and the distance of the pole from the following.

Answer 1

Draw a diagram. If the distance is x, then

(h-85)/x = tan11°6'
h/x = tan26°7'

So, (h-85)cot 11°6' = h*cot 26°7'
Use that to find h, and then you can get x.