   Chapter 11.3, Problem 47E ### 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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# Consider the regular square pyramid shown.a) Find the height h correct to the nearest tenth of a unit.b) Use h form part (a) to find the volume of the pyramid. To determine

a)

The height of the regular square pyramid h correct to tenths.

Explanation

Given:

The given figure is shown below:

Calculation:

Let us assume β be the angle of opposite side h.

According to the definition of tangent ratio, tanβ=ha.

tanβ=hatan72=ha

The length of apothem of a square is half of the length of its edges.

Since, each edge of the base square measures 6ft

To determine

b)

The volume of pyramid V by using the value of height h.

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