Trigonometric bearing airplane problem

A plane's air speed is 520 mi/hr. Find the bearing (theta) the plane should fly to get to Seattle and the new speed (r) when the wind is blowing from a bearing of 120degrees with a speed of 120 mi/hr. The bearing from Hawaii to Seattle is 50 degrees and the distance is 2677 mi. Find the time it takes to fly to Seattle with the new plane speed.

Re: HELP! Trigonometric bearing airplane problem

Have you any ideas on what method to use?

Start by drawing a picture of the scenario described.

Re: HELP! Trigonometric bearing airplane problem

Re: HELP! Trigonometric bearing airplane problem

Perhaps it's because the speed and direction of the wind causes the plane to slow down? I'm not quite sure, it's a practice problem my trigonometry teacher gave us. We are currently studying the applications of vectors in the plane.

Re: HELP! Trigonometric bearing airplane problem

Was there any other pieces of information?

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Re: HELP! Trigonometric bearing airplane problem

the attatchment is a similar problem with different speeds for the air plane and wind, this is how my teacher wants us to solve it