Table of contents
- 0. Functions(0)
- Introduction to Functions(0)
- Piecewise Functions(0)
- Properties of Functions(0)
- Common Functions(0)
- Transformations(0)
- Combining Functions(0)
- Exponent rules(0)
- Exponential Functions(0)
- Logarithmic Functions(0)
- Properties of Logarithms(0)
- Exponential & Logarithmic Equations(0)
- Introduction to Trigonometric Functions(0)
- Graphs of Trigonometric Functions(0)
- Trigonometric Identities(0)
- Inverse Trigonometric Functions(0)
- 1. Limits and Continuity(0)
- 2. Intro to Derivatives(0)
- 3. Techniques of Differentiation(0)
- 4. Applications of Derivatives(0)
- 5. Graphical Applications of Derivatives(0)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)
- 7. Antiderivatives & Indefinite Integrals(0)
- 8. Definite Integrals(0)
5. Graphical Applications of Derivatives
Applied Optimization
5. Graphical Applications of Derivatives
Applied Optimization: Study with Video Lessons, Practice Problems & Examples
32PRACTICE PROBLEM
In a park, a zip line is to be installed from the top of a tower to the ground and then up to the top of a hill for an adventure activity. The tower is meters high, the hill is meters high, and the horizontal distance between them is meters. To minimize the length of the cable used, what should be the angle between the cable and the horizontal at the point where the cable touches the ground? Report your final answer in units of degrees rounded to two decimal places.
In a park, a zip line is to be installed from the top of a tower to the ground and then up to the top of a hill for an adventure activity. The tower is meters high, the hill is meters high, and the horizontal distance between them is meters. To minimize the length of the cable used, what should be the angle between the cable and the horizontal at the point where the cable touches the ground? Report your final answer in units of degrees rounded to two decimal places.