Two Sides of a Triangle Are 2 M and 3 $0.07$

question 37

Multiple Choice

Two sides of a triangle are 2 m and 3 m in length and the angle between them is increasing at a rate of $0.07$ rad/s. Find the rate at which the area of the triangle is increasing when the
Angle between the sides of fixed length is ( $\frac{\pi}{3}$ )

• A) \(-0.955 \mathrm{~m}^{2} / \mathrm{s}\)
• B) \(1.145 \mathrm{~m}^{2} / \mathrm{s}\)
• C) \(-1.955 \mathrm{~m}^{2} / \mathrm{s}\)
• D) \(0.105 \mathrm{~m}^{2} / \mathrm{s}\)
• E) \(5.045 \mathrm{~m}^{2} / \mathrm{s}\)

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