Answer:
125km
Explanation:
the east component is given by the cosine function of the given angle.
because of the triangle that is formed between the east component end the south-east component
[tex]cos\theta=\frac{adjacent Leg}{hypotenuse}[/tex]
in this case the angle is: [tex]\theta =60[/tex]
the adyacent Leg is the east component [tex]Ec[/tex]
and the hypotenuse: [tex]d=250km[/tex]
so:
[tex]cos60=\frac{Ec}{250km}[/tex]
we clear for the east component:
[tex]Ec=(250km)(cos60)\\Ec=(250km)(0.5)\\Ec=125km[/tex]
you can see the the triangle in the attached image, where the blue line is the east component
