The angle of elevation of a cloud from a point \( h \) metre above a lake is \( \theta \). The a...

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The angle of elevation of a cloud from a point \( h \) metre above a lake is \( \theta \). The angle of depression of its reflection in the lake is \( 45^{\circ} \). The height of the cloud is
(a) \( h \tan \left(45^{\circ}+\theta\right) \)
(b) \( h \cot \left(45^{\circ}-\theta\right) \)
(c) \( h \tan \left(45^{\circ}-\theta\right) \)
(d) \( h \cot \left(45^{\circ}+\theta\right) \)
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