The legs of an isosceles triangle are increasing at the rate of 0.5 feet per minute, and the vertical angle α is increasing at the rate of 1 radian per minute (Figure 9). At what rate is the area A of the triangle changing when the leg b is 2 feet and the angle α is 2π3?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter20: Ratio And Propor Tion
Section: Chapter Questions
Problem 20A: In Figure 208, gear A is turning at 120 revolutions per minute and gear B is turning at 3.6...
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The legs of an isosceles triangle are increasing at the rate of 0.5 feet per minute, and the vertical angle α is increasing at the rate of 1 radian per minute (Figure 9). At what rate is the area A of the triangle changing when the leg b is 2 feet and the angle α is 2π3?

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