Question
Asked Jan 9, 2020
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х
75 ft
A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are attached from the ground to
the top of the pole, as shown in the following figure.
de
when a wire of 136 feet is attached.
dx
Find the rate of change of the angle
O'(136) =
radians per foot. Round to five decimal places.
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х 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are attached from the ground to the top of the pole, as shown in the following figure. de when a wire of 136 feet is attached. dx Find the rate of change of the angle O'(136) = radians per foot. Round to five decimal places.

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Expert Answer

Step 1

According to the given information:

Length of pole (AB) = 75 feet

length of the wire attached from the ground to top of pole (AC) = x feet

Calculus homework question answer, step 1, image 1
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Step 2

From the above triangle and by using trigonometric ratios:

Calculus homework question answer, step 2, image 1
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Step 3

Now, differentiate wit...

Calculus homework question answer, step 3, image 1
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Derivative

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