Question

An airplane flies 200 km due west from city A to city B and then 255 km in the direction of 29.5° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? (b) Relative to city A, in what direction is city C? North of west (c) Why is the answer only approximately correct? 

          An airplane flies 200 km due west from city A to city B and then 255 km in the direction of 29.5° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?
(b) Relative to city A, in what direction is city C? North of west
(c) Why is the answer only approximately correct?
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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An airplane flies 200 km due west from city A to city B and then 255 km in the direction of 29.5° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? (b) Relative to city A, in what direction is city C? North of west (c) Why is the answer only approximately correct?
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Transcript

-
00:01 Hello, here we have to solve the following assignment.
00:02 An airplane flies 200 kilometers due west from a to b, and then 255 kilometers at the given direction from b to c.
00:13 Let's illustrate it, so let's direct y -axis up.
00:17 Origin will be located at the origin will be located cta and here we direct north to positive y and east to positive x.
00:28 So now let's show the direction here.
00:35 So first the plane moves from a to b, which is, sorry, which is due west.
00:47 And this distance d1 is 200 kilometers...
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