(a) A plane is initially flying at a speed of 290 mph east, when it runs into a stormy area where the wind blows at 110 mph in the direction 30.0 north of east. Calcul direction (in degrees north of east) of the plane relative to the ground. (Enter your answer accurate to at least one decimal place.) speed mph direction north of east (b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind? south of east (c) What would be the speed (in mph) of the plane relative to the ground in this case? mph

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(a) A plane is initially flying at a speed of 290 mph east, when it runs into a stormy area where the wind blows at 110 mph in the direction 30.0 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.)
mph
north of east
speed
direction
(b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind?
south of east
(c) What would be the speed (in mph) of the plane relative to the ground in this case?
mph
Transcribed Image Text:(a) A plane is initially flying at a speed of 290 mph east, when it runs into a stormy area where the wind blows at 110 mph in the direction 30.0 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.) mph north of east speed direction (b) What If? In what direction (in degrees south of east) should the plane aim to move so that its net speed is eastward despite the wind? south of east (c) What would be the speed (in mph) of the plane relative to the ground in this case? mph
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