Homework Help: word problem

Posted by jen on Friday, March 28, 2008 at 3:43pm.

An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree.
Thanks.

word problem - Damon, Friday, March 28, 2008 at 6:54pm
the plane is traveling South with the wind at 37 miles per hour
It is flying North in the air at 450 cos 60 = 225
so its speed North = 225 - 37 = 188
its speed East is 450 sin 60 = 389
so
total speed = sqrt(188^2 + 389^2)
=sqrt (186665)
= 432 mph
tan angle east of north = 389/188 = 2.07
angle = 64.2 = 64 degrees

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