[Solution Library] The hypotenuse of a right triangle is growing at a constant rate of a centimeters per second and one leg is decreasing at a constant


Question: The hypotenuse of a right triangle is growing at a constant rate of \(a\) centimeters per second and one leg is decreasing at a constant rate of \(b\) centimeters per second. How fast is the acute angle between the hypotenuse and the other leg changing at the instant when both legs are \(1 \mathrm{~cm}\) ?

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