<PRE><B>Question 101250</B>
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.
------------------
x-vector: 500cos(65)+80cos(35) = 276.841
y-vector: 500sin(65)+80sin(35) = 499.04
-------------
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)

---------------
Cheers,
Stan H.
</PRE>