Airplane Flight Time Calculation with Prevailing Wind and Air Speed

[Alemayo1]

Homework Statement

heres the question: An island is located 900km (North 30 degrees east). The weather office informs him of a prevailing wind from the west of 80km/h. If the pilot wasnt to maintain and air speed of 300km/h, how long will the flight take?

Homework Equations

The Attempt at a Solution

 

[temaire]

Well, you should start by looking at some formulas that could be useful such as $$t=\frac{d}{v}$$, and the soh cah toa ratios.

 

[temaire]

It would also be helpful if you drew yourself a vector diagram.