Posted by **bryan** on Thursday, November 29, 2012 at 12:24am.

A plane has an airspeed of 200 miles per hour and a heading of 28.0°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 38.0°. Find the speed and direction of the air currents, assuming they are constants. (Round your answers to one decimal place.)

_____mi/hr at ____° from due north

- trig -
**Reiny**, Thursday, November 29, 2012 at 8:40am
I assume you are studying vectors.

Draw a line at 28° of length 200 (your resultant)

Draw a line at 38° of length 207, join its tail to the first line.

That smaller line will be the vector representing the wind

I see a triangle with sides 200 and 207, with a contained angle of 10°

Let the length of the smaller side be x

by cosine law:

x^2 = 200^2 + 207^2 - 2(200)(207)cos10°

etc.

x will be you speed of the wind, and from your diagram it should be straightforward to find the wind direction

## Answer this Question

## Related Questions

- trig - A plane has an airspeed of 190 miles per hour and a heading of 24.0°. The...
- trig - A plane is flying with an airspeed of 150 miles per hour and heading 155...
- Trigonometry law of cosine - A plane is flying with an airspeed of 200 miles per...
- Pre-Cal - An airplane's velocity with respect to the air is 580 miles per hour, ...
- trig - an airplane has an airspeed of 430 miles per hour at a bearing of 135 ...
- Math - An airplane's velocity with respect to the air is 580 miles per hour, and...
- math - A plane is flying at 168 miles per hour with a heading of 43.5° from due ...
- Trigonometry - A pilot is flying at 200 miles per hour (airspeed), and wants his...
- Math I Have no idea PlEASE help me - Wind can affect the speed of an airplane. ...
- Math- Multi-step word problems - A plane traveling from Phoenix to Washington, D...

More Related Questions