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pankaj gupta Grade: 12
        

The angle of elevation of a cloud from a point 60m above a lake is 30degree and the angle of depression of the reflection of the cloud in the lake is 60degree. plz find the height of the cloud

6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

let height of cloud is H from ground then height of cloud from point is (H-60) ...


using tan30 = (H-60)/d      .........1                (d is the base of upper triangle formed)


 


image of cloud after reflection is formed at H depth below the water surface , so for lower triangle


 tan60 = (H + 60)/d          ...........2               (d is the base of lower triangle)


dividing 2 by 1


 H+60/H-60 = 3


 H + 60 = 3H - 180


 2H = 240


 H = 120m

6 years ago
Sudheesh Singanamalla
114 Points
										

368_16302_trigo.jpg


Please approve !

6 years ago
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