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Math
GeometryElementary Geometry for College Students6th Edition

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

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

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Problem 1E
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Problem 10E
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Problem 15E
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Problem 19E
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Problem 30E
Problem 31E
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Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
BuyFindarrow_forward

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?

Chapter 11.3, Problem 40E, In Exercises 37 to 43, angle measures should be given to the nearest degree; distance should be

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

sinα=aD

From the figure diagonal of the cube D=a3

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Sect-11.1 P-1ESect-11.1 P-2ESect-11.1 P-3ESect-11.1 P-4ESect-11.1 P-5ESect-11.1 P-6ESect-11.1 P-7ESect-11.1 P-8ESect-11.1 P-9ESect-11.1 P-10E
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