As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. 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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Solution

Let AB be the lighthouse and the two ships be at point C and D respectively.

In ΔABC,

In ΔABD,

Therefore, the distance between the two ships ism.

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Question 13
As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are $30^{\circ}$ and $45^{\circ}$ . If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

Q. As observed from the top of a

75 m

high lighthouse from the sea-level, the angles of depression of two ships arc

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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As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

Let AB be the lighthouse and the two ships be at point C and D respectively. In ΔABC, In ΔABD, Therefore, the distance between the two ships ism.

Let AB be the lighthouse and the two ships be at point C and D respectively.

In ΔABC,

In ΔABD,

Therefore, the distance between the two ships ism.