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Question about Trigonometry: Law of Sines

Math

Originais Teachy

Trigonometry: Law of Sines

Medium

(Originais Teachy 2023) - Question Medium of Math

In a football match, the goalkeeper throws the ball to a player on his team who is 40 meters away. At the same time, an opposing player who is 30 meters away from the goalkeeper in a direction that forms an angle of 120° with the direction of the first player starts running towards the ball. Assuming they are all on the same plane, what is the distance between the two players at the moment the ball is thrown? Use the law of cosines to solve the problem.
a.
70 meters
b.
60 meters
c.
30 meters
d.
40 meters
e.
50 meters

Answer sheet:

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