Engineering Board Exam Reviewer · Solutions to Oblique Triangles · hard
GE Board August 1994: A ship started sailing S42°35'W at the rate of 5 kph. After 2 hours, ship B started at the same port going N46°20'W at the rate of 7 kph. After how many hours will the second ship be exactly north of ship A?
- 3.68
- 4.03
- 5.12
- 4.83
Answer
B. 4.03
Solution
Let t = hours after ship B starts. Ship A's westward displacement (after 2+t hours) is 5(2+t) (42°35'); ship B's westward displacement (after t hours) is 7t (46°20'). Setting them equal (B due north of A): 5(2+t) (42.583°)=7t (46.333°), giving t 4.03 hours.
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