10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 ft/sec a. What is the rate of change of the height of the top of the ladder? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle between the ladder and the ground changing then? ft/sec a. The rate of change of the height of the top of the ladder is (Simplify your answer.) ft2/sec b. The area is changing at (Simplify your answer.) rad/sec c. The angle is changing at (Simplify your answer.)
10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 ft/sec a. What is the rate of change of the height of the top of the ladder? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle between the ladder and the ground changing then? ft/sec a. The rate of change of the height of the top of the ladder is (Simplify your answer.) ft2/sec b. The area is changing at (Simplify your answer.) rad/sec c. The angle is changing at (Simplify your answer.)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 7A: A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and...
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Transcribed Image Text:10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 ft/sec
a. What is the rate of change of the height of the top of the ladder?
b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then?
c. At what rate is the angle between the ladder and the ground changing then?
ft/sec
a. The rate of change of the height of the top of the ladder is
(Simplify your answer.)
ft2/sec
b. The area is changing at
(Simplify your answer.)
rad/sec
c. The angle is changing at
(Simplify your answer.)
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