Two sides of a triangle are 2 meters and 3 meters and the angle between them is increasing at 0.5 radians/second when the angle is pi/4.

Question

1. How fast is the distance between the tips increasing?

2. How fast is the area increasing?

I got part of #1 but I am getting multiple answers. Help me clear up the confusion. Thanks Mary!

Answer 1

use law of cosines to get the distance between tips.

c^2=2^2+3^2+2*2*3CosTheta

you are looking for dc/dt

2c dc/dt=-12sinTheta dTheta/dt

the fugure out dc/dt when theta=PI/4, and you will have to calculate c at that same angle.
I have no idea what you mean by "multiple " answers.

Answer 2

Mary, what part of yesterdays solution did you not like ?

http://www.jiskha.com/display.cgi?id=1456770767

Always check to see if your question has been answered before reposting the same thing.
That way we avoid unnecessary duplication of work.