Question

After leaving an airport, a plane flies for 2 hours on a course of 60 degrees at a speed of 200 kilometers per hour. The plane then flies for 3 hours on a course of 210 degrees at a speed of 100 kilometers per hour What is the distance of the airport from the plane in kilometers? Round to the nearest tenth​

Answer 1

Answer: 205.3

I suppose all measures of angles are done from the same axis (for example x-axis)

Explanation:

You just have to use the theorem of Al'Kashi:

`d^2=400^2+300^2-2*300*400*cos(30^o)\\\\d\approx{205.3(km)}`