The Designers of a Water Park Are Creating a New $\theta$

question 331

Multiple Choice

The designers of a water park are creating a new slide and have sketched some preliminary drawings.The length of the ladder is a = 26 feet, and its angle of elevation is 60º (see figure) .

Find the angle of depression $\theta$ from the top of the slide to the end of the slide at the ground in terms of the horizontal distance d the rider travels.

• A) \(\theta = \arctan \left( \frac { 22.52 } { d } \right)\)
• B) \(\theta = \arctan \left( \frac { 23.52 } { d } \right)\)
• C) \(\theta = \arctan \left( \frac { 24.52 } { d } \right)\)
• D) \(\theta = \arctan \left( \frac { 25.52 } { d } \right)\)
• E) \(\theta = \arctan \left( \frac { 26.52 } { d } \right)\)

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Definitions:

Diffusion of Innovation Theory

A hypothesis detailing the manner, reason, and speed at which new innovations and technologies propagate across societies.

Psychological Traits

Characteristics of individuals that influence their behavior and attitudes.

New Product

A good or service that is recently developed, introduced, or brought to the market for the first time.

New-to-the-world Products

Products that represent a completely new market offering that has never been seen before, often introducing a groundbreaking innovation.