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(a)

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Observe the figure:

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The air plane is consistently $\"\"$ miles above ground.

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There is a right angle triangle.

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If $\"\"$ is in hours, $\"\"$ will give the distance traveled going $\"\"$ mph at time $\"\"$ .

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Observe the figure, hypotenuse is $\"\"$ and $\"\"$ .

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Apply Pythagorean theorem, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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(b)

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$\"\"$ as function of $\"\"$ .

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$\"\"$ .

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(c) Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ represents the distance of the plane from the control towers as a function of time.

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(d)

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Time $\"\"$ minutes.

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Convert the time minutes to hours.

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$\"\"$ minutes $\"\"$ hour.

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$\"\"$ minute $\"\"$ hour.

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$\"\"$ minutes $\"\"$ hour.

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

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$\"\"$

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$\"\"$

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(a)