math
posted by Jainee on .
The runway of an airfield faces west. An airplane, flying in the direction of northeast at a height of 2km and at a speed of 400km/h, on a path which passes over a point 3km west of the runway end, is spotted sqrt(29)km horizontally(southwestern quadrant) from the runway end. At this tiem another airplane takes off from the airfield and climbs at an angle of 30degrees with a constant speed of 250km/h.
a) Find the trajectories of both airplanes
b) Determine whether the two planes are in danger of collision.

Jainee Shah u naughty naughty girl