To find: the angle between the diagonal of a cube and its edge.
Answer to Problem 44E
The angle between the diagonal of a cube and its edge is
Explanation of Solution
Given information:
Given figure
Calculation:
Consider the following figure
Note that from the above figure, triangle
By Pythagoras theorem
Since the tangent of the angle is given by the ratio of the length of the perpendicular to the base,
Therefore in right angled triangle
Put the values
Hence, the angle between the diagonal of a cube and its edge is
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- 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