Question

From the top of a lighthouse, the angle of depression of two ships on the opposite sides of it are observed to be 30° and 60°. If the height of the lighthouse is h meters and the line joining the ships passes through the foot of the lighthouse , show that the distance between the ships is 4h/√3m​

Answer 1

Step-by-step explanation:

at first

height of the light House=h meters

Answer 2

Step-by-step explanation:

tan 30=h/x

x=√3h

tan 60=h/y

y=h/√3

x+y=√3h+h/√3

=3h+h/√3

=4h/√3

hence proved