Trigonometry! #116

Geometry Level 2

The angle of elevation of a cloud from a point h h meters above a lake is θ \theta . The angle of depression of its reflection in the lake is 4 5 ∘ 45^{\circ} . Find the height of the cloud in meters.

h cot ⁡ ( 9 0 ∘ + θ ) h\cot(90^{\circ}+\theta) h cot ⁡ ( 9 0 ∘ − θ ) h\cot(90^{\circ}-\theta) h tan ⁡ ( 4 5 ∘ − θ ) h\tan(45^{\circ}-\theta) h tan ⁡ ( 4 5 ∘ + θ ) h\tan(45^{\circ}+\theta)

Omkar Kulkarni by Omkar Kulkarni , 22, India

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