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Answer:
19.18 km
Step-by-step explanation:
The angle between the directions is 127 - 46 = 81
Use the law of cosines.
Let d = the distance between the ships
d^2 =10^2 +18^2 - 2*10*18 cos 81
= 100 + 324 - 360cos 81
= 424 - 360(.156434...)
= 367.6835
d = 19.18 km