Question
2 goal posts are 8m apart. A footballer is 34m from 1 post and 38m from the other, with what angle must he kick the ball if he has to score a goal.
Answers
Anonymous
Law of cosines
c^2 = a^2 + b^2 - 2 a b cos C
8^2 = 34^2 + 38^2 - 2* 34*38* cos C
64 = 1156 + 1444 - 2584 cos C
2584 cos C = 2536
cos C = 0.981424
C = 11.0608 degrees
c^2 = a^2 + b^2 - 2 a b cos C
8^2 = 34^2 + 38^2 - 2* 34*38* cos C
64 = 1156 + 1444 - 2584 cos C
2584 cos C = 2536
cos C = 0.981424
C = 11.0608 degrees