Question

An aeroplane leave an airport A and flies on a bearing 035 for 3/2 hours at 600km/h to an airport B. It then flies on a bearing 130 for 3/2 hours at 400km/h to an airport C calculate the distance from c to a

Answer 1

distance for first part = (3/2)(600) km = 900 km
distance for 2nd part = (3/2)(400) km = 600 km

make a sketch to see that you have a triangle with sides 900 and 600 and
an angle of 85° between them
If d is the distance you want
d^2 = 600^2 + 900^2 - 2(600)(900)cos85°

solve for d