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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

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

Grade:12

2 Answers

vikas askiitian expert
509 Points
10 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
114 Points
10 years ago

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