An aircraft is flying at a constant altitude with velocity magnitude r1 (relative to the air) and…

An aircraft is flying at a constant altitude with velocity magnitude r1 (relative to the air) and angle ?1 (in a two dimensional coordinate system). The magnitude and directionof the wind are r2 and ?2, respectively. Suppose that the wind angle is uniformly distributed between 10 and 20 degrees and all other parameters are constant. Determine the probability density function of the magnitude of the resultant vector r = [r1 + r + r r (cos – cos )] .2221 2 1 2? ? 0 5.