So, im not sure how to do this question:

Question

Two roads diverge at a 52° angle. Two bike riders take separate routes at 17 km/h and 24 km/h. How far apart are they after 2 hours?
could i get some help please??
thanks!

Answer 1

After 2 hours, the first rider went 34 km and the 2nd rider went 48 km
the angle between them is 52°
Make a sketch and use the cosine law:
x^2 = 34^2 + 48^2 - 2(34)(48)cos52°
= 1450.48...
x = √1450.48... = appr 38.085
or 38.1 km , like their answer

Answer 2

Thank you very much!