SOLUTION: Give a sketch for this information. A boy standing 70m away from a flag-post, observes that the angle of elevation from the top and bottom of a tower on top of the flag-post are 5

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Question 1142034: Give a sketch for this information.
A boy standing 70m away from a flag-post, observes that the angle of elevation from the top and bottom of a tower on top of the flag-post are 57degrees and 69degrees respectively. Find the height of the tower.

Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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A boy standing 70m away from a flag-post, observes that the angle of elevation from the top and bottom of a tower on top of the flag-post are 57degrees and 69degrees respectively.
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Use the tangent of two right triangle to find the height of the pole and the height of the pole + the tower
tan(57) = P%2F70
P = 70 * 1.540
P = 107.8 meters
and
tan(69) = %28T%2B107.8%29%2F70
T+107.8 = 70 * 2.605
T + 107.8 = 182.356
T = 182.356 - 107.8
T = 74.556 ft if the height of the tower














Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Angle of elevation TO THE BOTTOM is 57 degrees.
Angle of elevation TO THE TOP is 69 degrees.