   Chapter 11.3, Problem 42E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit.What is the measure of the angle between the diagonal of a cube and the diagonal of the face of the cube? To determine

To calculate:

The angle between the diagonal of a cube and the diagonal of the face of the cube.

Explanation

Given:

The provided figure is shown below:

Calculation:

Now, we have to find the angle between the diagonal of a cube and the diagonal of the face of the cube.

sinα=oppositehypotenuse.

Substitute hypotenuse=D,opposite=a

From the figure diagonal of the cube D=a3

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