Q. 294.7( 10 Votes )

As observed from the top of a 75 m tall lighthouse, 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 the distance between the two ships be (m.)


And distance between the ship and foot of light house is (m.)


In ∆ABD


tan 45° =


1 =


AB = BD


75 =


--------(1)


In ∆ABC


tan 30° =


tan 30° =



= 75√3 --------(2)



On substituting value of in eqn. (2)




Therefore distance between the two ships is


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