Posted by **Sarah** on Sunday, March 3, 2013 at 6:17pm.

A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

- Algebra and Trigonometry -
**Damon**, Sunday, March 3, 2013 at 6:27pm
I just did this for Sarah below :(

- Algebra and Trigonometry -
**Damon**, Sunday, March 3, 2013 at 6:28pm
Trig - Damon, Sunday, March 3, 2013 at 6:24pm

East speed = 100 + 200 sin 45 = 241

North speed = 200 cos 45 = 141

speed = sqrt( 141^2 + 241^2) = 279 mph

tan east of north = 241/141

so angle east of north = 60 degrees

## Answer this Question

## Related Questions

- Trig - A plane if flying at 200 mph with a heading of 45 degrees and encounters ...
- 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 ...
- trig - An airplane flies with a speed of 425 mph and a heading of 63°. If the ...
- word problem - An airplane is flying with a heading of 60 degrees east of north ...
- Trig - A plane is flying at 240 mph heading North 60 degrees East. The wind is ...
- calculus - Multiple choice: An airplane flying due east at 539 mph in still air...
- Math - Me, again... Please help me. Thank you. Assume a plane is flying directly...
- Trig - An airplane is flying on a compass heading (bearing) of 340 degrees at ...
- Geometry - A plane is heading west at 200 mph. The wind is blowing S30°W at 25 ...

More Related Questions