Question

The angle of depression of a ship from the top of a 30m tall tower is 30degree, find the distance of the ship from the tower.

Answer 1

SOLUTION ☺️

Let the distance between ship & tower be x metre.

Now,

In ∆ SOT, tan theta = ST/TO

=) tan 30°= 30/x

=) 1/√3= 30/x

=) x= 30√3

=)x= 30× 1.732

=) x= 51.96 metre

hope it helps ✔️

Answer 2

Let the distance betw sheep and tower be x

Now,

In∆SOT,tan∅=ST/TO

=>tan30°=30/x

=>1/√3=30/x

=>x=30√3

=>x=30×1.732

x=51.96metre