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HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is

How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.

Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.

Sagot :

sqdancefan

Answer:

  0.86°

Step-by-step explanation:

The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...

  Tan = Opposite/Adjacent

__

angle from the bat

The geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.

For angle α, we have the relation ...

  tan(α) = (6 ft)/(400 ft) = 0.015

The inverse tangent function can be used to find the angle from its tangent:

  α = arctan(0.015) ≈ 0.859372°

The angle of elevation needs to be a minimum of 0.86°.

View image sqdancefan
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