A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?
1. A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km
west of the other. What is the shortest length of highway that can be built between the two
towns, and at what angle would this highway be directed with respect to due west?
2. The two hot-air balloons in the drawing are 48.2 and 61.0 m above the ground. A person
in the left balloon observes that the right balloon is 13.38 above the horizontal. What is the
horizontal distance x between the two balloons?
3. The speed of an object and the direction in which it moves constitute a vector quantity
known as the velocity. An ostrich is running at a speed of 17.0 m/s in a direction of 680
north of west. What is the magnitude of the ostrich’s velocity component that is directed
(a) due north and
(b) due west?
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