Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and 0 va the area of the triangle remains constant. At a certain instant a = 6cm, b = 8cm, and 0 6. are increasing at a rate of 6cm/s. Estimate the rate at which 0 is changing at that instant. radians, an %3D Round your answer to three decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 40E
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Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and O vary with time in such a way that
the area of the triangle remains constant. At a certain instant a = 6cm, b D
8cm, and 0
6.
are increasing at a rate of 6cm/s. Estimate the rate at which 0 is changing at that instant.
=- radians, and at that instant both a and b
Round your answer to three decimal places.
de
%3D
rad/s
dt
Transcribed Image Text:Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and O vary with time in such a way that the area of the triangle remains constant. At a certain instant a = 6cm, b D 8cm, and 0 6. are increasing at a rate of 6cm/s. Estimate the rate at which 0 is changing at that instant. =- radians, and at that instant both a and b Round your answer to three decimal places. de %3D rad/s dt
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