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NotTim

  • 2 years ago

A boat is travelling at 18 knots on a heading of 234 degrees. The current is 8 knots, flowing from a bearing of 124 degrees. Determine the resultant velocity of the boat.

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  1. NotTim
    • 2 years ago
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    I got the speed, its 22 knots. But I didn't get the angle.

  2. NotTim
    • 2 years ago
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    The correct angle is a bearing of 254. I got 19.9 degrees.

  3. NotTim
    • 2 years ago
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    to get such an angle, i used sin^-1(8sin110/22.056)=Angle

  4. NotTim
    • 2 years ago
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    to get my speed, c2=8^2-182-2(8)(18)cos110

  5. NotTim
    • 2 years ago
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    um...anyone got a response?

  6. dumbcow
    • 2 years ago
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    everything looks correct, again the 19.9 refers to the angle inside the triangle the new bearing will be 234 + 19.9 = 253.9 which is slighly different from answer given ? not sure why

  7. NotTim
    • 2 years ago
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    this txtbook rounds the answers. How do I know whether to add or subtract from the current bearing on which the angle/point lies?

  8. dumbcow
    • 2 years ago
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    |dw:1333624601334:dw| use the diagram

  9. dumbcow
    • 2 years ago
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    if the current was flowing the other direction then you would have subtracted

  10. NotTim
    • 2 years ago
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    |dw:1333635586620:dw| wait...thats not a bearing...

  11. NotTim
    • 2 years ago
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    unless I draw my diagram wrong.

  12. dumbcow
    • 2 years ago
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    oh are bearings supposed to go clock-wise? sorry sometimes i forget navigational convention

  13. NotTim
    • 2 years ago
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    but it still works eh

  14. NotTim
    • 2 years ago
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    bearings start from the top and go clockwise, yeah

  15. dumbcow
    • 2 years ago
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    haha oh well but the math will still work out the same because its all relative to your starting position :)

  16. NotTim
    • 2 years ago
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    ok. thank you very much! you helped me just in time!

  17. dumbcow
    • 2 years ago
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    welcome

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