Question

Two ships are approaching a light-house from opposite directions. The angles of depression of the two ships from the top of the light-house are 30º and 45º. If the distance between the two ships is 100m, find the height of the light-house [Use √3=1.732]

Answer 1

Let  AD be the light house and its height be h.The distance of one ship from the light house is x and that of other ship is 100-x.