Posted by **alivia** on Friday, October 8, 2010 at 1:42pm.

You are piloting a small plane, and you want to reach an airport 450 km due south in 2.0 hours. A wind is blowing from the west at 75 km/h.What heading and airspeed should you choose to reach your destination in time?

- physics -
**bobpursley**, Friday, October 8, 2010 at 3:57pm
Make an angle measured from S counterclockwise to heading (somewhere SE)

the Easterly component has to be 75km/hr

The resultant is S, and the heading is 450

Then TanTheta= 75/desired resultantvelocity

TanTheta= 75/(450/2)

solve for Theta.

Your airspeed should be

SinTheta= 75/desiredairspeed

solve for desired airspeed.

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