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On the morning when the sun will pass directly overhead, the shadow of an 80 foot building on level ground is 60 fee long. At the moment in question, the angle (theta) the sun makes with the ground is increasing at the rate of .27 radians per minutes. At what rate is the length of the shadow decreasing?
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ok trig, so yuckkkkk
|dw:1407426318598:dw|
|dw:1407426397773:dw|
|dw:1407426313418:dw| Hmm, this angle's a bit tricky... The problem with your set up is that if \(\theta\) increases, the shadow's length will also increase. I think the angle is between the hypotenuse and the 60 foot leg.
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