Two soccer players on the field are 10 m apart, and their coach is on the sideline. the angle measured from player 1 between player 2 and the coach is 52°. the angle measured from player 2 between player 1 and the coach is 40°. how far is player 1 from the coach? a) 6.4 m b) 7.9 m c) 8.2 m d) 12.3 m

The correct option is a) 6.4 m

Step-by-step explanation:

Let A represents the position of first player B represents the position of second player and C represents the position of the Coach,

According to the question,

AB = 10 meters,

Since, the sum of all interior angles of a triangle is 180°,

Using law of sine,

Hence, player 1 is 6.4 meters far from the coach.