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Avery erects a radio antenna in his backyard.  How many feet tall is the antenna?

 

 
 Feb 23, 2021
 #1
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+1

Triangle ABC is similar to triangle RST.

 

\(\frac{BC}{AC} = \frac{ST}{RT}\)

 

6/5 = ST/40

 

ST = 48 feet.

 
 Feb 23, 2021
edited by CubeyThePenguin  Feb 23, 2021
 #3
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The triangles are not congruent.  The triangles are similar.  

.

 
Guest Feb 23, 2021
 #4
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I'm glad you corrected your answer. 

 
Guest Feb 23, 2021
 #2
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+1

 

x is to 40  as  6 is to 5  

 

x / 40  =  6 / 5    

 

5 • x  =  40 • 6  

 

5x  =  240  

 

  x  =  48    

.

 
 Feb 23, 2021

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