ACT math question

<p>An airplace is flying on a bearing of 70 degrees west of north at 400 mph. A wind is blowing on a bearing of 15 degrees south of west at 25 mph. Find the actual speed and bearing of the plane.</p>

<p>(I believe you must use Law of Cosines/Sines for this...can someone solve and post the answer please? Thank you!)</p>

<p>:)</p>

<p>I don’t use the law of cosines/sines… I hope this explains it!!! I like making pictures more than explaining with words, but if you have anymore questions, feel free to ask!
<a href=“http://img835.imageshack.us/img835/3830/bsmith72.png[/url]”>http://img835.imageshack.us/img835/3830/bsmith72.png&lt;/a&gt;&lt;/p&gt;

<p>hahaha i didnt realize it was as easy as using vectors! thank you so much for showing me how to do this…by the way you’re quite the artist!!!</p>

<p>Haha thank you!</p>

<p>I’m pretty positive this question was on my pre-calc final 2-3 weeks ago… Is the answer like 457mph?</p>

<p>^lol isn’t ACT only supposed to test up to Alg2/trig?</p>

<p>yeah…</p>

<p>Well, many schools include trig in their pre-calc classes.
My school called it “math analysis” which was basically pre-calc and trig combined.</p>