Using Geometry to Determine the Cost and Length of Water Slides

The video tutorial teaches how to model a word problem using trigonometric ratios and the Pythagorean theorem. It focuses on designing a water slide with specific constraints, such as ladder height and slide angle. The tutorial calculates the costs of building both the longest and shortest slides, considering different pricing for slide lengths. It concludes with a decision-making process on which slide to build, weighing cost against potential customer attraction.

What is the length of the shortest slide and how is it determined?

Discuss the considerations an owner should take into account when deciding between the longer and shorter slide.

In your opinion, which slide would be more appealing to customers and why?