Monday, January 21, 2013

Cable Problem

A cable needs to be put from one corner to the opposite corner. the park is 1 km by 0.5 kilometers. How long does the cable need to be in order to get from one corner to the other?

The formula to solve by is A Squared + B Squared = C Squared.

We know that A Squared is 1 km and B Squared is 0.5 km. From that, lets re-state the numbers into their base units: meters. That means that we have 1000 squared, and 500 squared. Then, we unsquare them. 1000 * 1000 is 1000000. 500 * 500 is 250000. These are then added together (hence the "+") , leaving us with 1250000. Now, square them to equal 1118.03. Simplified it is 1.11km.

The cable should be 1.11km long.

1 comment:

  1. Good work here, Alex, but you made it far more complicated than it needed to be. 1 squared is 1 and 0.5 squared is 0.25. Add them together to get 1.25 and then find the square root. If you round your answer to 2DP (two decimal places) it should actually be 1.12 (from 1.118...).

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