   Chapter 11.3, Problem 40E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 37 to 43, 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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