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Question

Two ships are there in the sea on either side of a light house in such away that the ships and the light house are in the same straight line. The angles of depression of two ships are observed from the top of the light house are 600 and 450 respectively. If the height of the light house is 200 m, find the distance between the two ships. (Use 3=1.73)

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Solution

Given the Height of the Light House AD=200 m
Let the Position of the Ships be C and B

Now, in ACD
tan60o=200DCDC=2003=115.6

and in ABD
tan45o=200BDBD=200

Distance between the Ships =BC=DB+BC=200+115.6=315.6 m

946205_971581_ans_fbbb8e9617b94ed685853da32413dab1.png

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