A man went off-roading in his Jeep. 40 miles after leaving the highway, he turned left, creating an angle of 125° between the two paths. After another 50 miles he reached the highway again.

Question

How much of the highway did he bypass?

Round to the nearest hundredth of a mile.

 

125°

He bypassed approximately ___?___ miles.

Answer 1

Cosine rule:

X²=40²+ 50² - 2 x 40 x 50 x cos(125)= 6394.3

X=79.96 miles