Question

A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. The goalie is standing on the goal line at a point where he is 3 yards from the left post and 5 yards from the right post, to be sure that the angle that the kicker can kick and score is bisected. How far is the kicker from the right post, to the nearest yard?
A triangle with three edges a kicker, left post, and right post. A line is drawn from the vertex kicker to the base, named goalie. The distance between the kicker and left post is 14 yd, the left post and goalie is 3yd, and the goalie and right

Answer 1

How far is the kicker from the right post, to the nearest yard is: 23 yards.

Distance

Using sine theorem

Let y represent the numbers of yards

Left triangle=3/sinx=14/sin∝

Right triangle=5/sinx=y/sin(180-∝°)

sin∝°=sin(180-∝°)

Hence,

3/5=14/y

y=5×14/3

y=23 yards

Therefore how far is the kicker from the right post, to the nearest yard is: 23 yards.

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