From a window (h meters above the ground) of a house in a street

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

From a window (h meters above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are θ\theta and ϕ\phi respectively. Show that the height of the opposite house is h(1+tan⁡θcot⁡ϕ)h(1 + \tan \theta \cot \phi).

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