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Oliga [24]
3 years ago
11

A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?

Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance d is given by

d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)

d^2 = 127837.698 km^2

\boxed{d = 357.54km}

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