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Math Help - Flight

  1. #1
    Member purplec16's Avatar
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    Flight

    An airplane flying at a speed of 360 mi/hr flies from a point A in the direction 137 degrees for 30 minutes and then flies in the direction 227 degrees for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

    I dont know how to draw it..., So im ultimately confused
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  2. #2
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    Quote Originally Posted by purplec16 View Post
    An airplane flying at a speed of 360 mi/hr flies from a point A in the direction 137 degrees for 30 minutes and then flies in the direction 227 degrees for 45 minutes. Approximate, to the nearest mile, the distance from the airplane to A.

    I dont know how to draw it..., So im ultimately confused
    Have you studied the Laws of Cosine yet?
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  3. #3
    Member purplec16's Avatar
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    Yes its a bearing question I dont understand how to set it up
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    Quote Originally Posted by purplec16 View Post
    Yes its a bearing question I dont understand how to set it up
    Is your issue setting the problem up or applying the Law?

    If it's setting the problem up, just sketch out the word problem. Graph the points (doesn't have to be exact, it's more for a visual aid) and connect the dots. It should form a triangle. Now just apply the Law of Cosines to that triangle. You've got the degrees and the lengths of the sides, you should be good to go.
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  5. #5
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    Quick Hint: That turn from 137 degrees to 227 degrees gives you your right angle.
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  6. #6
    Member purplec16's Avatar
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    I know...
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  7. #7
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    So, without drawing anything too complicated, you have a right triangle and you know the lengths of both sides. The distance from the plane back to point A is the hypotenuse.
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