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

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

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

$d^2 = 127837.698 km^2$

$\boxed{d = 357.54km}$