A 16 Foot Long Ladder Leans Against a Wall at an Angle

A 16 foot long ladder leans against a wall at an angle $\theta$ with the horizontal as shown in the figure. The top of the ladder is x feet above the ground. If the bottom of the ladder is pushed toward the wall, find the rate at which x changes with $\theta$ when $\theta$ = 45°. Express the answer in units of feet/degree.

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