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

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