# An airplane takes off traveling due east at 250 miles per hour relative to the ground. Upon encountering a horizontal cross wind, the resultant velocity of the plane relative to the ground is given by〈270,−34.641〉. Find the speed and direction of the cross wind. (State your direction in terms of the cardinal directions: north, south, east, west. Round your answer to the nearest hundredth.) Make sure to include a diagram that demonstrates how you set up any relevant vectors.

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An airplane takes off traveling due east at 250 miles per hour relative to the ground.

Upon encountering a horizontal cross wind, the resultant velocity of the plane relative to the ground is given by〈270,−34.641〉. Find the speed and direction of the cross wind. (State your direction in terms of the cardinal directions: north, south, east, west. Round your answer to the nearest hundredth.) Make sure to include a diagram that demonstrates how you set up any relevant vectors.
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Step 1

The magnitude of the speed o...

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