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A pitcher ok a baseball team is practicing his fast ball trying to ensure he hits the strike zone. He consistently releases the ball 3.4 feet high while he is pitching. The pitcher must aim for the ball to hit the ground approximately 58.8 feet from the pitcher's mound in order to stay in the strike zone. At what angle of depression, to the tenth of a degree, must he release the ball

Respuesta :

abidemiokin

Answer:

3.3°

Step-by-step explanation:

The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.

The length at which the pitcher hit the ground is the hypotenuse.

Given

Opposite side = 3.4m

Hypotenuse = 58.8m

Required

Angle of depression

Using SOH CAH TOA trigonometry identity

According to SOH,

Sin(theta) = opposite/hypotenuse

Sin(theta) = 3.4/58.8

Sin(theta) =0.05782

theta = sin^-1(0.05782)

theta = 3.32°

Hence the angle of depression that he must release the ball to nearest tenth is 3.3°

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