As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two - Maths - Some Applications of Trigonometry

Question

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

Gopal Mohanty · Accepted Answer

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 is

m

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.