NotTim
  • NotTim
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.
Mathematics
schrodinger
  • schrodinger
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schrodinger
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NotTim
  • NotTim
I got the speed, its 22 knots. But I didn't get the angle.
NotTim
  • NotTim
The correct angle is a bearing of 254. I got 19.9 degrees.
NotTim
  • NotTim
to get such an angle, i used sin^-1(8sin110/22.056)=Angle

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NotTim
  • NotTim
to get my speed, c2=8^2-182-2(8)(18)cos110
NotTim
  • NotTim
um...anyone got a response?
dumbcow
  • dumbcow
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
NotTim
  • NotTim
this txtbook rounds the answers. How do I know whether to add or subtract from the current bearing on which the angle/point lies?
dumbcow
  • dumbcow
|dw:1333624601334:dw| use the diagram
dumbcow
  • dumbcow
if the current was flowing the other direction then you would have subtracted
NotTim
  • NotTim
|dw:1333635586620:dw| wait...thats not a bearing...
NotTim
  • NotTim
unless I draw my diagram wrong.
dumbcow
  • dumbcow
oh are bearings supposed to go clock-wise? sorry sometimes i forget navigational convention
NotTim
  • NotTim
but it still works eh
NotTim
  • NotTim
bearings start from the top and go clockwise, yeah
dumbcow
  • dumbcow
haha oh well but the math will still work out the same because its all relative to your starting position :)
NotTim
  • NotTim
ok. thank you very much! you helped me just in time!
dumbcow
  • dumbcow
welcome

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