Question

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

Answer 1

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}`