(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An airplane is traveling at 30 m/s and wishes to travel to a point 8000 m NE (45 degrees). If there is a constant 10m/s wind blowing west:

A) In what direction must the pilot aim the plane in degrees?

B) How long will the trip take?

2. Relevant equations

Basic kinematic equations and trigonometry.

3. The attempt at a solution

Since I know only the magnitude of the velocity vector, and have to find the direction, I'm having trouble.

I've tried taking the arcsin of 10/30 (Opposite over Hypotenuse) and got 19.47 degrees. Using the Law of Sines, I can calculate the other angles and the other side length.

Side Length (m/s) Angle (Degrees)

10 19.47

30 58.4

29.33 102

Obviously, the 102 degrees doesn't make sense, since it is not opposite the largest side.

Am I making this much more difficult than it really is?

Please advise.

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# Homework Help: An airplane in the wind

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