Q. 63.7( 3 Votes )

# From a light house the angles of depression of two ships on opposite sides of the light house are observed to be 30° and 45°. If the height of the light house is h metres, the distance between the ships isA. B. C. D.

Answer :

Here AB is the light house of height h meters

The angles of depression from the light house are 30° and 45°

The distance between the two ships is CD

In Δ ABC

tan 45° =

BC = AB ( tan 45° = 1)

BC = h

In Δ ABD

tan 30° =

(h + CD) = √3 h (AB = BC = h)

CD = (√3 -1) h

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