A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a bearing of 112°, at 14 knots. Use Cartesian vectors to determine the resultant velocity of the ship.

The answer is 30.8km/h on a bearing of 218.6°

Please help! Thanks :)

Question

A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a bearing of 112°, at 14 knots. Use Cartesian vectors to determine the resultant velocity of the ship.

The answer is 30.8km/h on a bearing of 218.6°

Please help! Thanks :)

anonymous · Answer

I got the vectors to be
ship = [30cos78 , 30sin78]
current = [14cos158 , 14sin158]
This is wrong please help

amistre64 · Answer

78 isnt 192 for starters;

192
180
---
012

its a reference angle of 12; and sin and cos are both negative between 180 and 270

anonymous · Answer

Ohh...

anonymous · Answer

soo...
ship = [30cos12 , 30sin12]?

amistre64 · Answer

yes, but negatives

amistre64 · Answer

you have to get the proper direction values or your heading in the wrong place

anonymous · Answer

What do you mean by negatives?

amistre64 · Answer

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