If the angle of the elevation of a cloud from a point "h" metres above a lake is "A" and the angle of depression of its reflection in the lake is "B", prove that the distance of the cloud from the points of observation is - 2hSecA/(tanB- tanA).

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Q. If the angle of elevation of a cloud from a point h metres above a lake is a and the angle of depression of its reflection in the lake be b, prove that the distance of the cloud from the point of observation is

\frac{2 h s e c α}{\tan β - \tan α}

Q. If the angle of elevation of a cloud from a point

h

metres above a lake be

θ

and the angle of depression of its reflection in the lake be

ϕ

, prove that the distance of the cloud from the point of observation is

\frac{2 h cos ϕ}{sin (ϕ - θ)}

Also find the horizontal distance of the cloud from the place of observation.

If the angle of elevation of a cloud from a point 100 metres above a lake is 30^o and the angle of depression of its reflection in the lake is 60^o, then the height of the cloud above the lake is

Q. If the angle of elevation of a cloud from a point

h

metres above a lake is

α

, and the angle of depression of its reflection in the lake be

β

and the distance of the cloud from the point of observation is

x

. Find

x

α = 30^{o}, β = 45^{o}

and

h = 250 m

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