solve the mathematics question.Two ships leaves port at the same time,one steaming 5km/hr on a bearing N46E and the other at 9km/hr on a bearing S53E.How far apart are the ships after 2hours.

Answer 1

Draw the diagram, and note the angle between the two directions.
distance = speed * time
then use the law of cosines to find the desired distance

Answer 2

the angle between the two headings is ... 180 - 46 - 53 = 81

the distances traveled after 2 hr are
... 2 h * 5 kph = 10 km
... 2 hr * 9 kph = 18 km

use the law of cosines to find the distance (d) between the ships

d = √{10^2 + 18^2 - [2 * 10 * 18 * cos(81º)]}