Question

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

Answer 1

@amistre64, @Hero Anybody! Please help.

Answer 2

x compound:120 cos0+150cos(230.83)=25.25
y compound:120 sin0+150sin(230.83)=-116.29
\[d=\sqrt{25.25^2+(-116.29)^2}=118.9\] miles
\[\Theta=\tan^{-1}( \frac{ -116.29 }{ 25.25 })=-77.7\]