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Sonja [21]
2 years ago
9

How far must the outfielder throw the ball to return it to the pitcher? Round to the nearest foot. 112 feet 125 feet 145 feet 15

6 feet.
Mathematics
1 answer:
shusha [124]2 years ago
8 0

The distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

Given

On a softball field, the home plate is 43 feet from the pitcher’s mound.

A ball is hit at an angle of 27° east of the pitcher’s mound.

The ball travels 162 feet before it is caught by an outfielder.

<h3>How to use the cosine rule to find the distance?</h3>

Distance of the home plate from the pitcher's mound = 43 feet

The angle at which the ball is hit = 27° east of the pitcher's mound

The 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, of the triangle, is the distance from the outfielder to the pitcher.

According to the 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

Hence, the distance the outfielder must throw the ball to return it to the pitcher is 125 feet.

To know more about the Cosine rule click the link given below.

brainly.com/question/3240813

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