Provide an appropriate response.
-A 26-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 3 feet per second, at what rate is the bottom of the ladder moving away from the wall when the bottom of the ladder is 9 feet away
From the wall?
A) 8.1 ft/sec
B) 4.9 ft/sec
C) 5.4 ft/sec
D) -8.1 ft/sec

Question

Quizplus · Accepted Answer

Explanation:Using the Pythagorean Theorem, we have:26^2 = x^2 + 9^2x^2 = 26^2 - 9^2x^2 = 676 - 81x^2 = 595x = sqrt(595) = 24.4 ftDifferentiating both sides with respect to time, we get:52x * dx/dt = 0dx/dt = 0Therefore, the bottom of the ladder is not moving away from the wall.

Provide an Appropriate Response