SOLUTION: Angle of elevation of the top of the tower from a point 60mts from its foot is 30degrees.find the height of the tower.

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Question 687869: Angle of elevation of the top of the tower from a point 60mts from its foot is 30degrees.find the height of the tower.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Angle of elevation of the top of the tower from a point 60mts from its foot is 30degrees.find the height of the tower.
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Draw the picture.
You have a right triangle with base equals 60 meters.
The height of the triangle is the tower
The angle opposite the height is 30Degrees
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Equation:
tan(30) = height/base
(1/sqrt(3)) = height/60
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height = 60/sqrt(3) = 20 sqrt(3) is apporimately 34.64..
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Cheers,
Stan H.
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