   Chapter 11.3, Problem 46E ### 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 length of the slant height l correct to tenths.b) Use l form part (a) to find the lateral area L of the pyramid. To determine

a)

The length of the slant height l 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 cosines, cosβ=al.

cosβ=alcos72=al

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 lateral surface L by using the value of slant height l.

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