NCERT Solution Class X Mathematics Some Applications of Trigonometry Question 13 (Ex 9.1)

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° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

Answer:

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

Therefore, the distance between the two ships is 75(√3 – 1)m.

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