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As observed from the top of a 60 m high lighthouse from the se

Question

As observed from the top of a 60 m high lighthouse from the sea-level, the angles of depression of two ships are $30^{o}$ and $45^{o}$ . If one ship is exactly behind the other on the same side of the lighthouse. Find the distance between the two ships.

20 m

46.5 m

54.9 m

60.1 m

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As observed from the top of a 60 m high lighthouse from the sea-level, the angles of depression of two ships are

30^{o}

and

45^{o}

. If one ship is exactly behind the other on the same side of the lighthouse. Find the distance between the two ships.

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Text solutionVerified

From the given figure

t an 4 5^{o} = \frac{75}{y}

Hence

y = 75 m

And

t an 3 0^{o} = \frac{75}{75 + x}

75 + x = 753

x = 75 (3 - 1) m = 54.9 m

=Distance between the ships.

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Question Text	As observed from the top of a 60 m high lighthouse from the sea-level, the angles of depression of two ships are $30^{o}$ and $45^{o}$ . If one ship is exactly behind the other on the same side of the lighthouse. Find the distance between the two ships.
Answer Type	Text solution:1
Upvotes	150