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# pythagorean theorem

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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+0 Answers

#1
+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