SOLUTION: An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual spee

Question 101250: An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual speed and direction of the airplane. Round off answers to one decimal.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual speed and direction of the airplane. Round off answers to one decimal.
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x-vector: 500cos(65)+80cos(35) = 276.841
y-vector: 500sin(65)+80sin(35) = 499.04
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resultant:
r = sqrt(276.841^2+499.04^2) = 570.685 (actual speed)
theta = tan^-1(499.04/276.841)= 60.981 degrees (actual direction)
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Cheers,
Stan H.

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