   Chapter 11.3, Problem 49E 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

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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