From the top of a lighthouse, the angles of depression of two ships on the opposite sides of it are observed to be a and B. If the height of the lighthouse be h metres and the line joining the ships passes through the foot of the lighthouse, show that the distance between the ships is
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- From the top of a lighthouse, the angles of depression of two ships on the opposite sides of it are observed to be a and B. If the height of the lighthouse be h metres and the line joining the ships passes through the foot of the lighthouse, show that the distance between the ships is $\sf \: \frac{h(tan \: \alpha + tan \: \beta )}{tan \: \alpha\:tan \: \beta} \: meters \\$
Hence, the distance between the ships is
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