Question

The drawings below (Figure), show angles formed by the goalposts at different positions of a football player. The greater the angle, the better chance the player has of scoring a goal. For example, the player has a better chance of scoring a goal from Position A than from Position B.

1. 
2. 
3. 

In Parts (a) and (b) given below it may help to trace the diagrams and draw and measure angles.

1. Seven football players are practising their kicks. They are lined up in a straight line in front of the goalpost [Figure]. Which player has the best (the greatest) kicking angle?
2. Now the players are lined up as shown in figure. Which player has the best kicking angle?
3. Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other.

Answer 1

1. 
   Since, the angle made by 4 is greatest. Hence, he has the best kicking angle.
2. 
   From the above figure, we can say that player 4 has the best kicking angle, as it is the greatest.
3. Since, the angles are complementary. Hence, two situations are 45°, 45° and 30°, 60°.