Upper a 16-foot ladder is leaning against a building. if the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the wall?

The ladder is moving at the rate of 0.65 ft/s

Explanation:

A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second. We need to find the rate at which the top of the ladder moving down when the foot of the ladder is 5 feet from the wall.

The attached figure shows whole description such that,

.........(1)

We need to find, at x = 5 ft

Differentiating equation (1) wrt t as :

Since,

At x = 5 ft,

So, the ladder is moving down at the rate of 0.65 ft/s. Hence, this is the required solution.

a and c

c is 100% but i am confused in a

0.11 m/s and 0.28 m/s should be correct