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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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?

Chapter 5.2, Problem 29E, In Exercises 29 to 32, use the fact that triangles are similar. A person who is while walking away

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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