The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 100 m apart, the height of the light house is

Question

Philoid · Accepted Answer

Here AD = h meter is the tower

The ships B and C are 100 m apart so BC = 100 m

In Δ ACD

tan 45° =

CD = h (∵ tan 45° = 1)

In Δ ABD

tan 30° =

=

h =

h= 100 + h

h = m

On rationalizing the denominator

h =

h = 50 (m