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A rocket, rising vertically, is being tracked by a radar station miles away from the rocket’s launch pad. How fast is the rocket rising when it is miles above the ground and the distance between the rocket and the radar station is increasing at a rate of miles per hour?

Draw a diagram and use it to write an equation.

Right triangle, horizontal leg labeled 3 miles, vertical leg labeled, h, with arrow pointing up, hypotenuse labeled, d.

Differentiate your equation from Step 1.

What is the value of d when ?

Evaluate your equation from Step 2 for , , and .