Concept explainers
To find: The height of the tree.
Answer to Problem 23SGR
The height of the tree is
Explanation of Solution
Given information: The given information is:
Dave height is
Calculation:
By drawing the figure:
Assume that the
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar (AA Similarity Postulate).
Since two pair’s angles are congruent, AA Similarity Postulate shows that the right triangles are similar.
Let x be the height of the tower.
Use the corresponding side lengths to write a proportion.
Tree's height Tree's shadow length
Therefore, the height of the tree is
Chapter 7 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning