Help with PreCalc-Trig, Plane/Wind Vector Problem
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# Help with PreCalc-Trig, Plane/Wind Vector Problem

[From: ] [author: ] [Date: 11-05-22] [Hit: ]
a. Find the component form of your plane vector, vp.b. Find the component form of your wind vector, vw.......
You are the pilot of a plane trying to land at a site that is located N 30 degrees W. There is an WEST wind blowing at the rate of 30mph. Your groundspeed/plane speed is 150mph. Use the letter prompts below to come across the final magnitude and bearing of the final vector you will take, so you may land successfully. (Round to tenths.) I have work for a-c.

a. Find the component form of your plane vector, vp.

vp= 150 = <129.9,75>

b. Find the component form of your wind vector, vw.

//30// vw= <0,30>

c. Perform the vector operation vp-vw. This will be the final vector vf.

129.9-0=129.9 75-30=45
vf=<129.9,45>

d.Find the magnitude of vf, the vector you found in part c.

Not sure how to find this one.??????

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Your answer to (a) is correct, but the answer to (b) should be <-30, 0>. <0, 30> isn't logical because this would imply that the wind is blowing north when it should be blowing WEST.

At this point, the required vector for (c) is:
<129.9, 75> - <-30, 0> = <159.9, 75>,

and its magnitude is:
||v|| = √(159.9^2 + 75^2) ≈ 176.6.

I hope this helps!

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Now that I look at it, the answer to (a) actually is incorrect too. N30W means 30 degrees north of west, so it should be <150 cos 150°, 150 sin 150°>.

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