The figure illustrates the apparatus for a tightrope walker. Two poles are set x = 50 feet apart. Starting at the lowest point, the tightrope walker moves up the rope at a steady rate of 3 ft/sec. If the rope is attached y = 30 feet up the pole, express the height h of the walker above the ground as a function of time t. (Hint: Let d denote the total distance traveled along the wire. First express d as a function of t, and then h as a function of d. Assume the tightrope walker begins moving up the rope at t = 0.)

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The figure illustrates the apparatus for a tightrope walker. Two poles are set x = 50 feet apart. Starting at the lowest point, the tightrope walker moves up the rope at a steady rate of 3 ft/sec. If the rope is attached y = 30 feet up the pole, express the height h of the walker above the ground as a function of time t. (Hint: Let d denote the total distance traveled along the wire. First express d as a function of t, and then h as a function of d. Assume the tightrope walker begins moving up the rope at t = 0.)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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