Two ships are there in the sea on either side of a ligh
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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 60∘ and 45∘ 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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Right Answer is:
SOLUTION
Let CD be the lighthouse and A and B be the positions of the two ships.
Height of the lighthouse, CD = 200 m
Now, tan 60o=CDAC
⇒√3=200AC
⇒AC=200√3=115.6
Also, tan 45o=CDBC
⇒1=200BC
⇒BC=200
So, distance between the two ships, AB = BC + AC = 315.6 m
