$\"\"$

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(a)

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The satellite can scan the part of earth $\"\"$ s surface.

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Redraw the figure.

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$\"\"$

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$\"\"$ represents the distance between satellite and the Earth $\"\"$ s surface.

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$\"\"$ represents the Earth $\"\"$ s radius.

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From right angled triangle :

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$\"\"$

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$\"\"$

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$\"\"$ .

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Distance between satellite and the Earth $\"\"$ s surface : $\"\"$ .

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$\"\"$

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(b)

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Distance between satellite and the Earth $\"\"$ s surface : $\"\"$ .

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Find the rate of change of $\"\"$ when $\"\"$ .

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$\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$ miles/degree.

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$\"\"$

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(a) Distance between satellite and the Earth $\"\"$ s surface : $\"\"$ .

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(b) $\"\"$ miles/degree.