Solving Vectors Word Problem: Ground Velocity of Airplane

[Chestermiller]

In the previous question the x component was +191.49 so it was a positive x-value?

EDIT: Also I just realized that the correct answer for the previous question in my book is 22.7 degrees for the bearing. We got 337.3 degrees, but the correct answer was actually 360-337.3=22.7

You're right. Your figure in post #38 through me off. I thought that the dashed line was the resultant. You're absolutely right. The bearing should have been 22.7 degrees (90 - 67.3).

 

[physics4ever25]

You're right. Your figure in post #38 through me off. I thought that the dashed line was the resultant. You're absolutely right. The bearing should have been 22.7 degrees (90 - 67.3).

The dashed line is the resultant vector though, isn't it? I mean, we found the magnitude of that side using the Pythagorean theorem, so that side must be the resultant.

 

[aardwolf.sg]

If it's headwind the answer is 505.51km/h @075.62 deg. If it's tailwind the answer is 597.209km/h @83.70 deg. The question says wind from bearing 120 deg so it's headwind. So answer is the first one.