a tower stands verically on the ground. from a point on the ground 100 m away from the foot of tower the angle of elivation from the the top of tower is 45°. find the height of tower
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height of the tower = 100m
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REF.Image.
30m away / 45∘ inclination.
Let the height of tower be h m
so AB=hm
Distance of the point from
foot of tower = 30m
CB=30m
Angle of elevation =45∘
∠ACB=45∘
Since tower is vertical to ground
∠ABC=90∘
Now tanC=sideadjacenttoangleCsideopptoangleC
tanC=CBAB
tan45=CBAB
1=30H
H=30
Hence height of tower = 30m
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