Two airplanes left a town at the same distance of 2km and 5km on a bearing of 240° and 130° respectively calucalate the distance between the two airplanes.

Answer 1

Easy sketch to make.

You have a triangle of sides 2 and 5 with an angle of (240-130)° or 110°

by the cosine law:
d^2 = 2^2 + 5^2 - 2(2)(5)cos110° , where d is the distance between them
d^2 = .....
d = √....