Mathematics

Mathematics

Problem

A vertical mast is being erected so that its height hh is increasing at 0.20 m/s. Simultaneously, the end of a cable attached to the top of the mast is being pulled horizontally along level ground, increasing the horizontal distance xx from the mast at 0.50 m/s. When h=10 mh=10\text{ m} and x=24 mx=24\text{ m}, determine the rate at which the length of the cable is changing.

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