Chapter 5.2, Problem 31E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercise 29 to 32, use the fact that triangles are similar.While admiring a rather tall tree, Fred notes that the shadow of his 6 -ft frame has a length of 3 paces. On the level ground, he walks off the complete shadow of the tree in 37 paces. How tall is the tree?

To determine

To calculate:

The height of the tree.

Explanation

Given:

While admiring a rather tall tree, Fred notes that the shadow of his 6ft frame has a length of 3 paces. On the level ground, he walks off the complete shadow of the tree in 37 paces.

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:

Consider the following graph.

Here, ABÂ¯ represents the height of the tree, DBÂ¯ represents the shadow of the tree, CDÂ¯ represents the height of the Fred, and DEÂ¯ represents the shadow of the Fred.

It is given that the shadow of the complete tree is BE=37ft.

The height of Fred is CD=6ft.

The shadow of the Fred is DE=3panes

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### What are the two requirements for a random sample?

Statistics for The Behavioral Sciences (MindTap Course List)