Question

A runner jogs 300 yards down the street and then turns down a pathway into the park and jogs another 125 yards. The angle between the two sidewalks is equal to 85 degrees. How far would the runner have gone if they ran in a straight path through the grass from the starting position directly to the park?
A.) 340.680 yards
B.) 343.134 yards
C.) 314.783 yards
D.) 118,648.613 yards

Answer 1

I was thinking maybe B.)

Answer 2

Apply Cosine's rule
Distance= \[\sqrt{300^{2}+125^{2}-2*300*125*cos85º}\]
=314.783
Option C