   Chapter 5.2, Problem 29E ### 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 29 to 32, use the fact that triangles are similar.A person who is while walking away from a 10 -ft lamppost casts a shadow 6 ft long. If the person is at a distance of 10 ft from the lamppost at that moment, what is the person’s height? To determine

To calculate:

The Person’s height when he is at a distance of 10ft from the lamppost at that moment.

Explanation

Given:

A person while walking away from a 10ft lamppost casts a shadow 6ft long.

Definition Used:

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Calculation:

Here, AB¯ represents the lamppost, DC¯ represents the person and CE¯ represents the shadow of the person.

According to the definition of segment-addition postulate, BE=BC+CE.

It is given that the shadow of the person is CE=6ft.

The distance of the lamppost and person is BC=10ft.

So,

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