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LadiesMan
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[SOLVED] Derivatives of Trig with Triangles
1. Two sides of a triangle are six and eight metres in length. If the angle between them decreases at the rate of 0.035 rad/s, find the rate at which the area is decreasing when the angle between the sides of fixed length is pi/6. Answer 0.727 m^2/min
2. I tried using Heron's formula but I realized it was almost impossible to take the derivative somehoe with the angle needed. My givens are
dtheta/dt = -0.035 rad/s
the angle between them is pi/6 or 30 degrees
Now to find da/dt...
Thanks
1. Two sides of a triangle are six and eight metres in length. If the angle between them decreases at the rate of 0.035 rad/s, find the rate at which the area is decreasing when the angle between the sides of fixed length is pi/6. Answer 0.727 m^2/min
2. I tried using Heron's formula but I realized it was almost impossible to take the derivative somehoe with the angle needed. My givens are
dtheta/dt = -0.035 rad/s
the angle between them is pi/6 or 30 degrees
Now to find da/dt...
Thanks