Question

A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his right and sees another receiver who is 19 yards away. To the nearest tenth of a yard, how far apart are the two receivers?

A. 9.8 yds

B. 10.5 yds

C. 45.5 yds

D. 104.5 yds

Answer 1

Use the law of cosines:

Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)

Distance = 9.8 yards.

The answer is A.