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From a point 100 m above a lake the Le of a stationary helicop

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From a point $100 m$ above a lake the $L e$ of a stationary helicopter is $30$ and $L d$ of reflection of the helicopter in the lake is $6 0^{\circ}$ . Find height of helicopter.

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From a point

100 m

above a lake the

L e

of a stationary helicopter is

30

and

L d

of reflection of the helicopter in the lake is

6 0^{\circ}

. Find height of helicopter.

9 mins ago

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Text solutionVerified

Position of Point -> 'A'

Position of Helicopter -> 'B'

Position of Level Ground -> 'GD'

Position of Reflection -> 'E'

From the figure :

( tan 60° ) = AF / FE = ( 200 + h ) / x ---> [ ΔAFC ]

( tan 30° ) = BC / AC = ( h / x ) ---> [ ΔBCA ]

Dividing above two equations :

( tan 60° ) ÷ ( tan 30° ) = ( 200 + h ) / h

=> 3h = ( 200 + h )

=> 2h = 200m => h = 100m

→ Hence, the height of helicopter is : BC + CD = 200m

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Question Text	From a point $100 m$ above a lake the $L e$ of a stationary helicopter is $30$ and $L d$ of reflection of the helicopter in the lake is $6 0^{\circ}$ . Find height of helicopter.
Answer Type	Text solution:1
Upvotes	150

From a point 100 m above a lake the Le of a stationary helicopter is 30 and Ld of reflection of the helicopter in the lake is 60∘. Find height of helicopter.

Text solutionVerified

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From a point $100 m$ above a lake the $L e$ of a stationary helicopter is $30$ and $L d$ of reflection of the helicopter in the lake is $6 0^{\circ}$ . Find height of helicopter.