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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

pankaj gupta , 14 Years ago
Grade 12
anser 2 Answers
vikas askiitian expert

Last Activity: 14 Years ago

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

Sudheesh Singanamalla

Last Activity: 14 Years ago

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