GCF and sum of 28 + 35
2 answers:
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Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:
where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get
Solving for dx/dt, we get
We know that
when x = 6 ft. So the rate at which the top of the ladder is going down is
The negative sign means that the distance x is decreasing as y is increasing.