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Sagot :
Answer: The answer is 125ft
Step-by-step explanation: I just did it
The law of cosines formula gives the square of the distance the
outfielder must throw the ball.
Correct response:
- The distance the outfielder must throw the ball to return it to the pitcher is approximately 125 feet.
How to use the cosine rule to find the distance
Distance of the home plate from the pitcher's mound = 43 feet
Angle at which the ball is hit = 27° east of the pitcher's mound
Distance the ball travels before it is caught = 162 feet
The sides, b and c, and the included angle, A, of the triangle drawn are respectively;
b = 43 feet
c = 162 feet
A = 27°
The length of the third side, a of the triangle is the distance from the outfielder to the pitcher.
According to law of cosines, we have;
a² = b² + c² - 2·b·c·cos(A)
a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105
Approximating to the nearest foot, we get;
a ≈ 125 feet
- The distance the outfielder must throw the ball to return it to the pitcher is a ≈ 125 feet.
Learn more about the law of cosines here:
https://brainly.com/question/2491835
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