Question

The angle of elevation of a cloud from a point 60m above a lake is 300

and the angle of

depression of the reflection of the cloud in the lake is 600

find the height of the cloud from

the surface of the lake.​

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

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asked Nov 10, 2017 in Class X Maths by priya12 (-12,631 points)

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

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answered Nov 10, 2017 by aditya23 (-2,145 points)

Let AO = H

CD = OB = 60m

A'B = AB = 60 + H

In Δ AOD,

⇒ 120 + H = 3H

⇒ 2 H = 120

⇒ H = 60 m

Thus, height of the cloud above the lake = AB + A'B = 60 + 60 = 120 m.