A plane takes off from an airport and flies to town A, located d, = 320 km from the airport in the direction 20.0° north of east. The plane then flies to town B, located d, = 235 km at 30.0° west of north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.)
A plane takes off from an airport and flies to town A, located d, = 320 km from the airport in the direction 20.0° north of east. The plane then flies to town B, located d, = 235 km at 30.0° west of north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.)
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Transcribed Image Text:A plane takes off from an airport and flies to town A, located d,
320 km from the airport in the direction 20.0° north of east. The plane then flies to town B, located d,
= 235 km at 30.0° west of
%D
north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.)
distance
522.38
You will need to make a scale drawing of the plane's motion. One vector will go from the airport to toown A, a second from town A to town B, and the displacement vector from town B
to the airport. Choose a convenient length scale, and use a protractor for the angles. Measure the length of the displacement vector, and convert using your scale factor. km
direction
36.81
Carefully sketch a scale drawing of the plane's motion, and use a protractor to draw the angles. Then use your protractor to measure the acute angle the vector from town B to the
airport makes with the horizontal. ° south of west
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