Question

two cars start from the same point p and travel along seperate straight highways. if these 2 highways originate at p forming an angle of 80 degrees, how many miles apart are the two cars after each has traveled 110 miles?

Answer 1

141 miles

Explanation:

We can visualize this as a triangle with two sides of 110 miles and an included angle of 80°.

Using the Law of Cosines, the third side is

`\sqrt{110^2+110^2-(2)(110)(110)(\cos 80^(\circ))} \approx 141`