From a lighthouse the angles of depression of two ships on opposite sides of the light house are obs...........

Quantitative Aptitude ( CCS) Height and Distance

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From a lighthouse the angles of depression of two ships on opposite sides of the light house are observed to be 30° and 45°. If the height of the lighthouse is h metres, the distance between the ships is

(√3 + 1)h meters

(√3 - 1)h meters

√3h meters

1 + (1 + 1/√3)h meters

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Explanation:

Let AB be lighthouse and P and Q are two ships on its opposite sides which form angle of elevation of A as 45° and 30° respectively AB = h
Let PB = x and QB = y