Posted by **T** on Saturday, May 24, 2008 at 10:44pm.

a plane with an airspeed of 192mi/h is headed on a bearing of 121 degrees. a north wind is blowing (from north to south) at 15.9 mi/h . find the ground speed and the actual bearing of plane.

- math -
**Reiny**, Sunday, May 25, 2008 at 12:11am
I will assume you are using the standard 'true north' reference and a clockwise rotation resulting a vector in the fourth quadrant with a magnitude of 192.

draw a vector from the end of the previous vector due south with a magnitude of 15.9

draw in the resultant vector

by cosine law:

R^2 = 192^2 + 15.9^2 - 2(192)(15.9)cos 121º

R will be the ground speed.

Use the Sine Law to find the angle across from the 15.9 side, add that angle to 121 and you have your actual bearing.

- math ? -
**T ??????????**, Sunday, May 25, 2008 at 5:44pm
is it gonna be right traingle or what?

- math - IS IT COREECT -
**T ??????????**, Sunday, May 25, 2008 at 5:54pm
*

* *

15.9 * 121 *

* *

*))90 (( *

**************

192

- math -
**Anonymous**, Thursday, December 17, 2015 at 3:55am
10.76

## Answer This Question

## Related Questions

- Math - a plane with an airspeed of 192mi/h is headed on a bearing of 121 degrees...
- Math - My Question is : A plane with an air pf 192 miles per hour is headed on a...
- Trigonometry - A pilot is flying at 200 miles per hour (airspeed), and wants his...
- Calculus - An airplane is heading at a bearing of N23°E at a speed of 700 km/hr...
- trig - Find the bearing and airspeed for a plane to fly 630 miles due north in 3...
- Math Precal - An airplane has an airspeed of 650 km/h bearing 15 degrees north ...
- Physics - A plane is heading due south with an airspeed of 211 mph. A wind from ...
- precalc - 1. A plane is headed at 122 degrees with an air speed of 350mph in a ...
- Physics - An airplane with an airspeed of 33.3 m/s is headed 30 degrees east of ...
- pre-cal - a pilot wants to fly on a bearing of 66.4 degrees. by flying due east...

More Related Questions