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The shown diagram represents a satellite calculating the distances and the angle. Find the distance between the two cities. Give your answer to one decimal place. Note that the diagram is not to scale.
Two planes leave the same airport at the same time. One flies on a bearing of at 500 miles per hour. The other flies on a bearing of at 600 miles per hour. How far apart are the planes after 2 hours?
A 113-foot tower is located on a hill that is inclined to the horizontal, as shown in the figure. A guy wire is to be attached to the top of the tower and anchored at a point 98 feet uphill from the base of the tower. Find the length of wire needed.
A man ran 24 km down a straight road. He then turned and ran a further 9 km along another straight road. Find, to the nearest kilometre, the shortest distance between his start and end points.
An aeroplane flies 220 miles on a bearing of and then changes course and flies 180 miles on a bearing of . How far is the plane from its starting point and on what bearing? Give your answers to one decimal place.
Two boats leave a harbor in different directions. One travels due west at 30 mph, and the other travels on a bearing of at 42 mph. How far apart are they after 90 minutes?
Two ships left a port at the same time. One traveled on a bearing of at 18 mph, while the other traveled on a bearing of at 22 mph. Find the distance between the ships after 10 hours. Give your answer to the nearest mile.
A plane follows a straight path at a steady speed of 600 miles per hour. After 1 hour 30 minutes, the pilot makes a course correction of , and the flight continues at the same speed, following a straight path, for another 2 hours. How far is the plane from its initial position? Give your answer to the nearest mile.