February 9, 2016

Homework Help: math

Posted by christina on Sunday, October 20, 2013 at 11:35pm.

Two sides of a triangle have lengths 8 m and 24 m. The angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is changing when the angle between the sides of fixed length is 135°. Round your answer to two decimal places.

So it would be
Using the formula:

area = (1/2) ab sinŲ , where a and b are the sides and Ų is the contained angle

A = (1/2)(8*24)sinŲ
A = 96 sinŲ
dA/dt = 96cosŲ dŲ/dt
given: dŲ/dt = .05

dA /dt = 96(cos(135)(.05) = -3.40
I keep getting it wrong?

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