A lighthouse has two guiding lights: one at the very top and another slightly below it

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A lighthouse has two guiding lights: one at the very top and another slightly below it. From a point 300 meters away from the base of the lighthouse on the shore, the angle of elevation to the top light is 60∘60^\circ, and to the second light is 45∘45^\circ. Select the correct distance between the lights. (1) A 300(3−1)300(\sqrt{3} - 1) (2) B 3003−1\frac{300}{\sqrt{3} - 1} (3) C 3003+1\frac{300}{\sqrt{3} + 1} (4) D 300(3+1)300(\sqrt{3} + 1)

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