A plane is initially flying at a speed of 280 mph east, when it runs into a stormy area where the wind blows at 100 mph in the direction 30.0\deg north of east. Calculate the new speed (in mph) and direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one

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A plane is initially flying at a speed of 280 mph east,
when it runs into a stormy area where the wind blows
at 100 mph in the direction 30.0\deg north of east.
Calculate the new speed (in mph) and direction (in
degrees north of east) of the plane relative to the
ground. (Enter your answer accurate to at least one
decimal place.)
Transcribed Image Text:A plane is initially flying at a speed of 280 mph east, when it runs into a stormy area where the wind blows at 100 mph in the direction 30.0\deg north of east. Calculate the new speed (in mph) and direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one decimal place.)
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