Asked by Danielle
                Two paths diverge at a 44 degree angle. Two mountain bike riders take separate routes at 6.5 km/ hr and 10 km/ hr. How far apart are they after 2 hours? Include a diagram.
            
            
        Answers
                    Answered by
            MathMate
            
    They are each 13 and 20 km from the starting point, at an angle of 44 degrees.
Solve the triangle by the cosine rule which gives the distance between the two:
c²=a²+b²-2ab cos(C)
where
c=distance between bikers
a=13km
b=20km
C=44°
    
Solve the triangle by the cosine rule which gives the distance between the two:
c²=a²+b²-2ab cos(C)
where
c=distance between bikers
a=13km
b=20km
C=44°
                    Answered by
            Danielle
            
    Thank you MathMate
    
                    Answered by
            MathMate
            
    You're welcome!
    
                    Answered by
            Anonymous
            
    13.962km apart
    
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