Posted by **Amber** on Tuesday, June 5, 2012 at 6:59pm.

A plane is heading west at 200 mph. The wind is blowing S30°W at 25 mph.

1. What is the ground speed of the plane?

2. When you solve the triangle, what is the smallest angle?

3. What is the largest angle of the triangle?

4. What is the remaining angle?

5. What is the bearing of the plane?

Please help out if you can, thanks. <3

- Geometry -
**Henry**, Tuesday, June 5, 2012 at 9:48pm
Vp = 200mi/h @ 180.

Vw = 25mi/h @ 240 Deg.

1. X=Hor=200*cos180+25*cos240=-212.5 mi/h

Y=Ver=200*sin180+25*sin240=-21.65mi/h

Vp=sqrt((-212.50^2)+(-21.65)^2)=213.6

= Velocity of plane.

2. tanA = Y/X = -21.65 / -212.5 = 0.10188.

A = 5.8 Deg. = Smallest angle.

3. C = 90 = Largest angle.

4. B=90-5.8 = 84.2 Deg.= Remaining angle.

5. Bearing = 180 + 5,8=185.8 Deg.,CCW

= 5.8 Deg. South of West

4. C = 180 - 5.8 - 84.2 = 90 Deg

## Answer This Question

## Related Questions

- geometry - A plane is heading west at 200 mph. The wind is blowing S30°W at 25 ...
- Geometry - A plane is heading west at 200 mph. The wind is blowing S30°W at 25 ...
- Geometry - A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E...
- Math - Can someone show me how to solve these questions. A plane is is flying ...
- Geometry - A plane is heading west at 200 mph. The wind is blowing S30°W at 25 ...
- trig - A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at ...
- geometry - A plane is is flying 225 mph heading S25°W. The wind is blowing S80°E...
- trig - A plane is flying 225 mph heading South 25°West. The wind is blowing ...
- Geometry - A plane is is flying 225 mph heading S25°W. The wind is blowing S80°E...
- Geometry/trig - A plane is flying due south at a speed of 300 mph. The wind is ...

More Related Questions