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)?

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anonymous · Answer

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anonymous · Answer

@amistre64, @Hero Anybody! Please help.

anonymous · Answer

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
$$\Theta=\tan^{-1}( \frac{ -116.29 }{ 25.25 })=-77.7$$