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The angle of elevation of a covering helicopter as seen from a

Question

The angle of elevation of a covering helicopter as seen from a point $45$ m above a lake is $3 0^{\circ}$ and the angle of depression of its reflection in the lake, as seen from the same point and at the same time, is $6 0^{\circ}$ . Find the distance of the helicopter from the surface of the lake.

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The angle of elevation of a covering helicopter as seen from a point

45

m above a lake is

3 0^{\circ}

and the angle of depression of its reflection in the lake, as seen from the same point and at the same time, is

6 0^{\circ}

. Find the distance of the helicopter from the surface of the lake.

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Text solutionVerified

R.E.F image

\frac{H - 45}{x} = t an 30 = \frac{1}{3}

\frac{H + 45}{x} = t an 60 = 3

∴ \frac{H - 45}{H + 45} = \frac{1}{3}

∴ H = 90 m

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Question Text	The angle of elevation of a covering helicopter as seen from a point $45$ m above a lake is $3 0^{\circ}$ and the angle of depression of its reflection in the lake, as seen from the same point and at the same time, is $6 0^{\circ}$ . Find the distance of the helicopter from the surface of the lake.
Answer Type	Text solution:1
Upvotes	150