If the angle of elevation of a cloud from a point h meters above a lake is - and the angle of depression of its reflection in the lake is - then height of the cloud is h 1 - r-1 - r where r- tan -tan -

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Angle of Elevation

If the angle ...

Question

If the angle of elevation of a cloud from a point h meters above a lake is $α$ and the angle of depression of its reflection in the lake is $β$ then height of the cloud is $h (\frac{1 + r}{1 - r})$ where $r = \frac{t a n α}{t a n β}$

True

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False

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Solution

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Similar questions

α

β

\frac{h (t a n β + t a n α)}{t a n β - t a n α}

h

α

β

\frac{2 h tan α}{tan β - tan α}

= \frac{h (t a n α + t a n β)}{t a n β - t a n α}

h

α

β

30^{\circ}

60^{\circ}

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