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.

Answer 1

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°

Answer 2

Thank you MathMate

Answer 3

You're welcome!

Answer 4

13.962km apart