Do dent/PlayerH 4284443318 d:4475 MAC2233 501F Business Calculus SU 2017 Gibson

Question

Do dent/PlayerH 4284443318 d:4475 MAC2233 501F Business Calculus SU 2017 Gibson ble Homework: Chapter 6 section 5 Score: 0 of 1 pt Phys Sci 6.5.23 HIV Score: 0%, 0 of 6 pts Question Help * A 20-foot ladder is leaning against a building If the bottom of the ladder is siding along the pavement directly away from the bulding at 3 feetisecond, how fast is the top of the ladder moving down when the foot of the ladder is 4 feet from the wall? The top of the ladder is moving down at a rate offeetisecond when the foot of the ladder is 4 feet from the wall (Round to the nearest thousandth as needed)

Explanation / Answer

x^2 + y^2 = 20^2
4^2 + y^2 = 20^2
y^2 = 20^2-4^2
y^2 = 384
y = 19.59

x dx / dt + y dy / dt = 0
4(3) + 19.59 dy / dt = 0
dy / dt = - 12 / 19.59
dy / dt = - 0.6125574

Therefore, the top of the ladder is decreasing at a rate of 0.6125574feet per second

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