# An observer flying in an aeroplane at an altitude of 900m observes 2 ships in front of him, which are in the same direction at an angles of depression of 60 and 30 respectively. find the distance between the two ships

2
by amina
final ans
i have left it in cjoice cause of lack of time
ohh
completed physics
??

2015-04-02T20:05:07+05:30
One at angle of depression 60 degree will be at distance of 900/
second at angle of depression of 30 degree will be at a distance 900
u r wrng
that is 300 root3
ya
yes if you take 3x300/ root 3 but haven't s solved it further
2015-04-03T00:47:28+05:30

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See the attachment.
We need to find the distance between the ships which is CD (=y-x).

In ΔABC,
tan 60 = AB/BC
⇒ √3 = 900/x
⇒ x = 900/√3 = 300√3m

In ΔABD,
tan 30 = AB/BD
⇒ 1/√3 = 900/y
⇒ y = 900×√3 = 900√3m

CD = y-x = 900√3 - 300√3 = 600√3 m

So the distance between the two ships is 600√3 m.
thanks bro
:))