Question 464476
two cars A and B start from the same point at the same time and travel along
 straight roads that from 60 degrees with each other.
After two hours, car A has traveled 120km and car B 100km.
 How far apart are these cars after two hours?
:
We can use the law of cosines here: a^2 = b^2 + c^2 - 2(bc)*cos(A), where
A = 60 degrees
a = dist between the cars
b = 120 km
c = 100 km
:
a^2 = 120^2 + 100^2 - 2(120*100) * cos(60)
a^2 = 14400 + 10000 - 2(12000) * .5
a^2 = 24400 - 12000
a^2 = 12400
a = {{{sqrt(12400)}}}
a = 111.355 miles apart