SOLUTION: Mr. Jones flew his plane 300 miles north before turning 15 degrees clockwise. He flew 75 miles in that direction. How far is Mr. Jones from his starting point?

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Question 368359: Mr. Jones flew his plane 300 miles north before turning 15 degrees clockwise. He flew 75 miles in that direction. How far is Mr. Jones from his starting point?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let East be positive x.
Let North be positive y.
Measure angles from the x-axis counterclockwise.
(x,y)=(0,300)+75(cos%2890-15%29,sin%2890-15%29)
(x,y)=(0,300)+(19.4,72.4)
(x,y)=(19.4,372.4)
.
.
Starting point is (0,0).
.
.
Use the distance formula,
D%5E2=%28x-0%29%5E2%2B%28y-0%29%5E2
D%5E2=%2819.4%29%5E2%2B%28372.4%29%5E2
D%5E2=376.36%2B138681.76
highlight%28D=372.9%29miles