CPM Homework Help : CALC Problem 10-97

A rocket, rising vertically, is being tracked by a radar station $3$ miles away. How fast is the rocket rising when it is $5$ miles above the ground and the distance between the rocket and the radar station is increasing at a rate of $3000$ miles per hour?

Step (1):

Draw a diagram and use it to write an equation.

Step (2):

Differentiate your equation from Step 1.
What is the value of $d$ when $h = 5$ ?

Step (3):

Evaluate your equation from Step 2 for $h = 5$ , $d =$ (# from Step 3), and $d^\prime = 3000$ .