A 17 ft ladder is leaning against a wall and sliding towards the floor. The top of the ladder is sliding down the wall at a rate of 6 ft/sec. How fast is the base of the ladder sliding away from the wall when the base of the ladder is 15 ft from the wall?

ft/s

Explanation:

We are given that

Length  of ladder,z=17 ft

Let x be the distance of bottom of ladder from the wall and y be the distance of the top of  ladder from the bottom of wall.

We have to find the rate at which the base of the ladder sliding away from the wall when x=15 ft

ft

Differentiate w.r. t time

ft/s

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation: