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In: Physics

Do this problem by making a neat, precise scaled drawing, using a ruler and protractor, ready...

Do this problem by making a neat, precise scaled drawing, using a ruler and protractor, ready to be turned in at the start of our next class. NOTE: "azimuth" means compass direction. North is considered 0°, east is 90°, south is 180°, and west is 270°.

Dr. Evil has been captured and is in a prison awaiting trial. His minions fly a helicopter to the prison, land in the courtyard, and hurriedly get him aboard. They take off. Hoping to confuse the police, they fly 35 km at azimuth 72°, then turn and go 57 km toward azimuth 52°, then turn again and fly 30 km at azimuth 325°, arriving at Dr. Evil's secret lair.

1. How far east of the prison is Dr. Evil's lair? (Negative if the final position is west.)

2. How far north of the prison is Dr. Evil's lair? (Negative if the final position is south.)

The prison authorities track the flight on radar, and thereby learn the location of Dr. Evil's secret lair. They have another helicopter, and take off to recapture Dr. Evil. They fly straight there from the prison.

3. How far do they have to fly distance:

4. and in what direction? azimuth: °

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