Lulu R.

asked • 01/26/17

Need help with a related rates problem

The area if a triangle with sides of lengths a and b and contained angle theta is A=1/2 ab sin theta.
a) If a= 2 cm, b = 3cm, and theta increases at a rate of 0.2 rad/min, how fast is the area increasing when theta = pi/3?
 
b) If a = 2cm, b increases at a rate of 1.5 cm/min, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when b = 3 cm and Θ = pi/3?
 
c) If a increases at a rate of 2.5 cm/min, b increases at a rate of 1.5 cm/min, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when a = 2cm, b =3cm, and Θ = pi/3?

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