SOLUTION: two ships leave port. the first ship A travels bearing of 033 degrees while B travels bearing of 076 degrees. after a while both are 10km north of port. calculate distance between

Algebra ->  Trigonometry-basics -> SOLUTION: two ships leave port. the first ship A travels bearing of 033 degrees while B travels bearing of 076 degrees. after a while both are 10km north of port. calculate distance between       Log On


   

Question 1071456: two ships leave port. the first ship A travels bearing of 033 degrees while B travels bearing of 076 degrees. after a while both are 10km north of port. calculate distance between them.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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From the diagram,
tan%2876%29=10%2FX%5B1%5D
tan%2833%29=10%2FX%5B2%5D
So,
X%5B1%5D=10%2Ftan%2876%29
X%5B2%5D=10%2Ftan%2833%29
D=X%5B2%5D-X%5B1%5D
D=10%281%2Ftan%2833%29-1%2Ftan%2876%29%29
D=10%281.53986-0.249328%29
D=12.9km