1. A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 7 ft from the house, the base is moving away at the rate of 72 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? У() c. At what rate is the angle between the ladder and the ground changing then? X-7 L=29 a. The rate of change of the height of the top of the ladder is -21 (Simplify your answer.) ft/sec. dY =72A %3D 25型y244? y=125=_82 y= 24 feet A.국( b. The area is changing at 190.5 fi?/sec. x²+4² (Simplify your answer.) %3D c. The angle is changing at (Simplify your answer.) rad/sec. da. at 552-7
1. A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 7 ft from the house, the base is moving away at the rate of 72 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? У() c. At what rate is the angle between the ladder and the ground changing then? X-7 L=29 a. The rate of change of the height of the top of the ladder is -21 (Simplify your answer.) ft/sec. dY =72A %3D 25型y244? y=125=_82 y= 24 feet A.국( b. The area is changing at 190.5 fi?/sec. x²+4² (Simplify your answer.) %3D c. The angle is changing at (Simplify your answer.) rad/sec. da. at 552-7
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...
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Transcribed Image Text:1. A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base is
7 ft from the house, the base is moving away at the rate of 72 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?
У()
c. At what rate is the angle between the ladder and the ground changing then?
X-7 L=29
a. The rate of change of the height of the top of the ladder is -21
(Simplify your answer.)
ft/sec.
dY =72A
%3D
25型y244?
y=125=_82
y= 24 feet
A.국(
b. The area is changing at 190.5 fi?/sec.
x²+4²
(Simplify your answer.)
%3D
c. The angle is changing at
(Simplify your answer.)
rad/sec.
da.
at
552-7
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