To find : The height of the pole to be placed
Answer to Problem 6PSA
The height is
Explanation of Solution
Given information : The following information has been given
The lengths of the poles are
Formula used : The area of any trapezoid will be
Calculation : We can clearly see here that the height of the pole to be placed is going to be the median of the given trapezoid thus formed by the two poles.
Hence, now we can say that
The base lengths are
We know that the median of a trapezoid can be given as
Hence, we substitute the given values, and we get
Chapter 11 Solutions
Geometry For Enjoyment And Challenge
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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