Question

a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree north-east at the rate of 6km per hour. H
ow far apart will they be after 2 hours

Answer 1

the hiker walking east walked 8 km
the hiker walking 55° NE walked 12 km

Since I am not sure what notation of direction you are using,
e.g. is it N55°E OR simply 55° up from the positive x-axis direction OR

I will interpret that the angle between their paths is 55°
So by the cosine law
x^2 = 8^2 + 12^2 - 2(8)(12)cos55°
= 97.87332..
x = √97.87....
=appr 9.89 km

If your angle is different from my interpretation, just make the changes at the end of the equation.

Answer 2

i m having a problem that the angle between north east will be 35 or 55 because if we are considering north east the hiker is moving fom north to east