SOLUTION: Jan is flying on a triangular course at 320 mi/h. She flies due east for two hours and then turns right through a 65 degree angle. How long after turning will she be exactly southe

Question 328202: Jan is flying on a triangular course at 320 mi/h. She flies due east for two hours and then turns right through a 65 degree angle. How long after turning will she be exactly southeast of where she started?

Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
There are various ways to go about this one. Here is one method.
From where she makes her 65 degree turn, extend a line straight out, then connect it to the point where she intersects the southwest line.
This forms a right triangle. Draw a line from the intersection point back to where she turned. This forms another triangle.
Let the distance extended out from where she turned be x and the distance from there to the intersection point be 640+x (because southeast is 45 degrees from the origin)
The distance she flies is 320t.
Now, we can build two triangles and solve for t and x. t is what we really need.

....[2]
....[3]
Sub [3] into [2] and solve for t.

This is a quadratic to solve for t.
Doing so, gives us hours.
The other solution is extraneous.
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