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A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.1 ft/s, how fast (in rad/s) is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 8 ft from the wall.) Wall 10 Ground -0.183 x rad/s Enhanced Feedback Please try again. Let @ denote the angle between the ladder and the ground. You should use the appropriate trigonometric function to relate the angle @ with x and then differentiate (with respect to t) the relation on both sides using the Chain Rule. You will also need to use the Pythagorean Theorem to find the value of y that will allow you to find the trigonometric values needed. Note that negative rate means the quantity is decreasing
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