5. At a certain instant of time, the length of one leg of a right triangle is 10 cm and it is increasing at the rate of 1 cm/min, and the length of the other leg is 12 cm and it is decreasing at the rate of 2 cm/min. Find the rate of change of the acute angle opposite the leg of length 12 cm at the certain instant.side.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter83: Location Of Points
Section: Chapter Questions
Problem 5A: A machinist needs to lay out three holes in a plate. Find, to the nearest thousandth millimeter, the...
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5. At a certain instant of time, the length of one leg of a right triangle is 10 cm and it is increasing at the rate of 1
cm/min, and the length of the other leg is 12 cm and it is decreasing at the rate of 2 cm/min. Find the rate of
change of the acute angle opposite the leg of length 12 cm at the certain instant.side.
Transcribed Image Text:5. At a certain instant of time, the length of one leg of a right triangle is 10 cm and it is increasing at the rate of 1 cm/min, and the length of the other leg is 12 cm and it is decreasing at the rate of 2 cm/min. Find the rate of change of the acute angle opposite the leg of length 12 cm at the certain instant.side.
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