Asked by Zack

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
Answered by Reiny
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
Answered by Zack
17- 17sqr root3/3? Is that height of pole? That doesn't seem right to me?
Answered by Reiny
17- 17√3/3 = appr 7.18 m , why is it not reasonable
Answered by Zack
Thank you greatly! I got to your answer now understand
Answered by Henry
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.

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