The angle of elevation of a cloud from a point 60 m above the surface of the water of a lake is 30° and the angle of depression of its shadow from the same point in water of lake is 60°. Find the height of the cloud from the surface of water.
Answers
Answered by
17
hey mate
here's the solution
let cloud be at height x( CE= x)
Let CF be lake
CA be shadow
So CA = x
Now,refer to attachment
here's the solution
let cloud be at height x( CE= x)
Let CF be lake
CA be shadow
So CA = x
Now,refer to attachment
Attachments:
Anonymous:
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Answered by
20
Hi There!!!
Method of Solution:-
Here, From Equation (a) and (b) . LHS has equal to LHS .
So,
PQ = PQ
=> √3(h-60) = h+60/√3
=> (√3 × √3) (h-60) = h+60
=> 3(h-60) = h+60
=> 3h -180 = h+60
=>3h-h = 60+180
=> 2h = 240
•°• h = 240/2
=> 120 metres
Hence, 120 metres is the height of the cloud from the surface of water.
Method of Solution:-
Here, From Equation (a) and (b) . LHS has equal to LHS .
So,
PQ = PQ
=> √3(h-60) = h+60/√3
=> (√3 × √3) (h-60) = h+60
=> 3(h-60) = h+60
=> 3h -180 = h+60
=>3h-h = 60+180
=> 2h = 240
•°• h = 240/2
=> 120 metres
Hence, 120 metres is the height of the cloud from the surface of water.
Attachments:
:)
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