Mr Thomas is designing a toddler slide for a children amusement park.
The safety requirement of the toddler slide is as follows:
- The angle that the slide forms with the horizontal ground, \(\theta\), is \(25^\circ \leq \theta \leq 30^\circ\).
- The maximum height of the slide perpendicular to the ground is \(5\) feet.
The manufacturing company charges \(\$7.50\) for every \(10\) cm of the length of slide made.
Calculate the difference in the cost of the slide if the minimum angle instead of the maximum angle is used. Give your answer in the nearest dollars.[6]
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