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°
Answered by Danielle
Thank you MathMate
Answered by MathMate
You're welcome!
Answered by Anonymous
13.962km apart

Related Questions