$\"\"$

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The range $\"\"$ of a projectile is $\"\"$ .

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Where $\"\"$ is the initial velocity in feet per second.

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$\"\"$ is the angle of elevation.

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Initial velocity is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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The change in angle is $\"\"$ .

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Convert the angle degrees measure into radians measure.

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Convert the angle degrees measure into radians measure.

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the above equation.

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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Substitute $\"\"$ in the above equation.

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$\"\"$

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Find the change in range.

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$\"\"$

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$\"\"$

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The approximate change in range is $\"\"$ .