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

User Kuitsi
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1 Answer

3 votes

Answer:

The distance traveled is 357.54km.

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}

A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the-example-1
User Mitko Keckaroski
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3.2k points