The key point to solve the problem:
The idea of cosine formula –
According to the question:
One ship goes in north east direction while other in southeast direction.
After 3 hours ship going in north east will be at a distance
Speed of ship A = 24km/hr
Speed of ship B = 32km/hr
Distance travelled by ship A after 3 hours = 24 × 3 = 72 km
Distance travelled by ship B after 3 hours = 32 × 3 = 96 km
We have to find the distance between the ships :
See the figure :
Now in Δ EFG, EF is the distance traveled by ship A And EG is the distance traveled by ship B we have to find FG, Applying cosine formula, we have-
∴ distance between ships after 3 hours = 120 KM