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Two men stand back-to-back and walk in opposite directions for $40$ yards each.  Each of them then turns left and walks another $40$ yards each.  In yards, how far are the two men from one another?

 Sep 9, 2023

Best Answer 

 #1
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Two men stand back-to-back and walk in opposite directions for $40$ yards each.  Each of them then turns left and walks another $40$ yards each.  In yards, how far are the two men from one another?  

 

square root of 802 + 802  =  sqrt(12,800)  =  113.14 yards  

 

Draw it.  Remember, the men's lefts are opposite directions.      

 

The men are 80 yds north & south  

 and another 80 yds east & west. 

 

Just imagine that it's a big box, and solve for the diagonal.  

 

edited to add:  I calculated the diagonal by using the Pythagorean Theorem.  

Since it's a big square, we could have multiplied a side by the square root of 2.  

.

 Sep 10, 2023
edited by Bosco  Sep 10, 2023
 #1
avatar+570 
+1
Best Answer

 

Two men stand back-to-back and walk in opposite directions for $40$ yards each.  Each of them then turns left and walks another $40$ yards each.  In yards, how far are the two men from one another?  

 

square root of 802 + 802  =  sqrt(12,800)  =  113.14 yards  

 

Draw it.  Remember, the men's lefts are opposite directions.      

 

The men are 80 yds north & south  

 and another 80 yds east & west. 

 

Just imagine that it's a big box, and solve for the diagonal.  

 

edited to add:  I calculated the diagonal by using the Pythagorean Theorem.  

Since it's a big square, we could have multiplied a side by the square root of 2.  

.

Bosco Sep 10, 2023
edited by Bosco  Sep 10, 2023

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