Concept explainers
To show: The length L of the fold depends on the angle
Explanation of Solution
Given:
The width of the paper as
Formula used:
Double-Angle Formulae:
Formula for sine:
Calculation:
From the above Figure 1, observe that there are two congruent right angled triangles ABC and ADC.
Drop a perpendicular from D to the edge AB.
Consider the right triangle ADE has a hypotenuse with value
Observe in Triangle ADE and find the value of x.
Observe on the folded right angled triangle ADC and find the value of L.
Hence, it is verified that
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning