An airplane leaves and airport and flies due West 120 miles and then 150 miles in the direction south 39.17° west. How far is the plane from the airport (round to the nearest mile)

An airplane leaves and airport and flies due West 120 miles and then 150 miles in the direction south 3917 west How far is the plane from the airport round to t class=

Respuesta :

Okay, here we have this:

Considering the provided information we are going calculate how far is the plane from the airport, so we obtain the following using the law of cosines:

[tex]\begin{gathered} a=\sqrt[]{120^2+150^2-2\cdot120\cdot150\cdot\cos (129.17)} \\ a\approx244\text{ miles} \end{gathered}[/tex]

Finally we obtain that the plane is approximately 244 miles far from the airport.