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
Algebra.Com
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
RELATED QUESTIONS
Two cyclist leave from the intersection of two roads at the same time. The angle between... (answered by Alan3354,Cromlix)
Please help me.
Two cars leave from the same spot at the same time, traveling on... (answered by ankor@dixie-net.com)
Two drivers leave home at the same time and travel on straight roads that diverge by 70... (answered by ankor@dixie-net.com)
Two ships leave a dock at the same time at an angle of 45 degrees from one another. One... (answered by Boreal)
Hello, I'm having trouble setting up this problem. Answers in the back of the book but I... (answered by Fombitz)
Two cyclists leave from an intersection at the same time. One travels due north at a... (answered by Alan3354,josmiceli)
Law of sines or cosines: Two cars leave the city at the same time and travel along... (answered by ikleyn)
Two ships leave from the same location with an angle of 57 degrees between their path. If (answered by ankor@dixie-net.com)
Two ships leave a harbor at the same time, traveling on courses that have an angle of 120 (answered by ankor@dixie-net.com)