Question 1159349
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Diagram
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Points A and B are the goal posts
Point C is the player's position
Angle C = theta is the angle in which sweeps out the possible places to shoot the puck in between the goal posts



Use the law of cosines to find angle C
c^2 = a^2 + b^2 - 2*a*b*cos(C)
(2)^2 = (10.1)^2 + (12)^2 - 2*(10.1)*(12)*cos(C)
4 = 102.01 + 144 - 242.4*cos(C)
4 = 246.01 - 242.4*cos(C)
246.01 - 242.4*cos(C) = 4
-242.4*cos(C) = 4-246.01
-242.4*cos(C) = -242.01
cos(C) = -242.01/(-242.4)
cos(C) = 0.99839108910891  approximately
C = arccos(0.99839108910891)
C = 3.25058757974158 also approximate; make sure your calculator is in degree mode


When rounding to the nearest whole number, we then get C = 3 degrees


Answer: 3 degrees
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