A vertical mast is being erected so that its height is increasing at 0.20 m/s
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A vertical mast is being erected so that its height h 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 x from the mast at 0.50 m/s. When h=10 m and x=24 m, determine the rate at which the length of the cable is changing.