Calculus math problem

Question

Two sides of a triangle are 8 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 𝜋 3 rad.

Answer 1

Karhleen,

your teacher should have given you:

area = (1/2)(a)(b)(sinC) where C is the angle between sides "a" and "b"

take the derivative of both sides and you can find your answer

Hope this helps--Andrew F.