The Angle Of Elevation Of The Top Of A Tower At A Point 40 Away From The The Foot Of The Tower Is 60 Degree Find The Height Of The Tower
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Let the height of the tower be h.
Let the height of the tank be x.
Hence total length of the structure =h+x.
Now applying trigonometric ratios, we get
tan450=40mh+x
=1
Hence
h+x=40m ...(i)
Also
tan300=40h=31
Hence
h=3403
=23.09m
Now
x=40−340
=40(33−1)
=16.905m
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