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Math Help - vectors

  1. #1
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    vectors

    A river in the north-south direction has riverbandks that are straight , parallel to each other and separated by a distance of 140 m . The river flows from the north to the south at a velocity of 0.6m/s . A teenager stands at a point A on the west side of the riverbank , which is opposite to point B ont he east bank . C is a poiont that is 35 m to the south of B . The teenager can swim at a speed of 1.0m/s in calm water . If he wants to arrive at C , find the direction he should be heading .


    Is B exactly opposite A ??
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  2. #2
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    Yes, the problem specifically says that. The line from A to B is perpendicular to the banks of the river so this is really are "right triangle" problem. Take his 1.0 m/s speed as one leg of the triangle and the 0.6 m/s speed of the river as the other. A trig function will give the angle.
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    Yes, the problem specifically says that. The line from A to B is perpendicular to the banks of the river so this is really are "right triangle" problem. Take his 1.0 m/s speed as one leg of the triangle and the 0.6 m/s speed of the river as the other. A trig function will give the angle.
    thanks , i thought of that too . But the answer given is N 68 degree 26 mins E , so i doubt if B is meant to be directly opposite A .
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  4. #4
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    But he wants to swim to C, not B. C is not directly opposite to A.
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