A man went off-roading in his Jeep. 50 miles after leaving the highway, he turned left, creating an angle of 105° between the two paths. After another 50 miles he reached the highway again.

Question

How much of the highway did he bypass?

105°

Round to the nearest hundredth of a mile.

 

He bypassed approximately __?__  miles.

Answer 1

x²=50²+50²-2 x 50 x 50 x cos θ

θ=79.34 º