A pole sits on top of a tall building an observer on ground 17 m away from building finds the angle of elevation to the base of the pole to be 30 degrees and the angle of elevation to top of pole to be 45 degree. Find height of pole to nearest tenth. Draw a pic

Answer 1

I assume you made the diagram.

height to top of building:
h1/17 = tan30
h1 = 17tan30
height to top tower:
h2/17 = tan45
h2 = 17tan45

tower = h2 - h1

take over, let me know what you get

Answer 2

17- 17sqr root3/3? Is that height of pole? That doesn't seem right to me?

Answer 3

17- 17√3/3 = appr 7.18 m , why is it not reasonable

Answer 4

Thank you greatly! I got to your answer now understand

Answer 5

Tan30 = h1/17,
h1 = 9.81 m.

Tan45 = (h1+h2)/17 = (9.81+h2)/17,
9.81 + h2 = 17,
h2 = 7.2 m. = Ht. of pole.