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## Homework Statement

A pole stands 75 feet tall. An angle θ is formed when wires of various lengths of ##x## feet are attached from the ground to the top of the pole.

Find the rate of change of the angle ##\frac{dθ}{dx}## when a wire of length 90 ft is attached.

## Homework Equations

## The Attempt at a Solution

I'm not sure where to start here. So in drawing a picture of the stated problem, I started off by finding the length of the ground which was 49.75 feet. Then I took the rise (75 feet) over the run (49.75 feet), to get a slope or rate of change of 1.5 which seems to make sense because it seems that we're dealing with a right triangle, and the slope would be the hypotenuse which is linear. But then I don't understand what is being asked by a "change in the angle". The angle should stay the same no matter how long we make the wire.

Any help would be greatly appreciated!