SOLUTION: two roads separate from a village at an angle of 37 degrees. two cyclists leave the village at the same time. one travels 7.5 km per hour and the other travels 10.0 km per hour on
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Question 948447: two roads separate from a village at an angle of 37 degrees. two cyclists leave the village at the same time. one travels 7.5 km per hour and the other travels 10.0 km per hour on the other road, how far apart are they after 2 hours? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! two roads separate from a village at an angle of 37 degrees.
two cyclists leave the village at the same time. one travels 7.5 km per hour and the other travels 10.0 km per hour on the other road, how far apart are they after 2 hours?
:
Find the distance each has traveled. (dist = speed * time
2*7.5 = 15 km
and
2*10 = 20 km
:
We have a side-angle-side situation, we can use the law of cosines here
c^2 = a^2 + b^2 -2(ab)*cos(C)
:
Angle C = 37, a = 15, b = 20, c = distance they are apart
:
c^2 = 15^2 + 20^2 -2(15*20)*cos(37)
c^2 = 225 + 400 - 2(300) * .79863
c^2 = 625 - 479.2
c^2 = 145.8
c =
c = 12.1 mi apart after two hrs
;
:
You should check my math here, to be sure
