In a right triangle with sides x,y,z, the theta between leg z and leg y is increasing at a constant rate of 3 rad/min. What is the rate at which x is increasing in units per minute when x equals 3 units and z is 5 units.(adsbygoogle = window.adsbygoogle || []).push({});

so the triangle is basically a 3,4,5 triangle. The theta is between the leg 5 and 4. Leg 4 does not chage since it's the base. To set up a changing rates problem, I did:

[tex]tan\theta = \frac{O}{A}[/tex]

[tex]4tan \frac{d \theta}{dt} = \frac{dx}{dt}[/tex]

[tex]\theta=-0.570 rad/min[/tex]

I think there is something wrong with this but I'm not sure why the theta is negative.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Changing rates

**Physics Forums | Science Articles, Homework Help, Discussion**