# Find out the distance of tower if the angle of elevation and height is given?

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From a point A on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point A from the foot of the tower is:

posted May 26, 2014
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## 2 Solutions

+3 votes

Answer is 173 m
sin30 = 100 / hyp side

hyp side = 200
Now for distance of point A from the foot of the tower =cos30 * hyp side = 0.866 * 200 = 173 m

solution Jan 27, 2015
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Distance from A to bottom of tower=P
Height of tower =100m
Angle of elevation from point A=30°
Therefore Tan 30°=100/P
P=100/tan30°
=100/(1/√3)
=173
So ans is 173m

solution Oct 16, 2015

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