Question

An airplane flies 200 km due west from city A to city B and then 355 km in the direction of 27.5° 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?

(c) Why is the answer only approximately correct?

Step 1

Draw the diagram. Here, *AB* is the distance between the cities A and B, *BC* is the distance between the cities B and C and *AC *is the distance between the cities A and C.

Step 2

(a) Using cosine law for triangle vector addition, the straight line distance between the cities A and C is:

Step 3

Substitute 200 km for *AB*, 355 km for *BC* and 27.50 for *&the...*

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