DarkBlueChocobo
  • DarkBlueChocobo
Help with application problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DarkBlueChocobo
  • DarkBlueChocobo
Your college quadrangle is 85 meters long and 66 meters wide. When you are late for class, you can walk at 7 miles per hour. You are at one corner of the quad and your class is directly opposite corner. How much time can you save by cutting across rather than going around the edge.
DarkBlueChocobo
  • DarkBlueChocobo
So i sketched it out
SolomonZelman
  • SolomonZelman
Pythagorean Theorem

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More answers

DarkBlueChocobo
  • DarkBlueChocobo
|dw:1443659413569:dw|
DarkBlueChocobo
  • DarkBlueChocobo
85^2+66^2=x^2 sqrt11581 = x 107.6=x
DarkBlueChocobo
  • DarkBlueChocobo
So in order to find how much time it saves we have to change 7 miles per hour to 6 meters per hour?
SolomonZelman
  • SolomonZelman
Yes, that is the distance which you cut accross. Now, how much distance does save you? You would have walked 85+66 without cutting, so subtract *(85+66) - √[88²+65²]*
DarkBlueChocobo
  • DarkBlueChocobo
how many meters***
DarkBlueChocobo
  • DarkBlueChocobo
not 6
SolomonZelman
  • SolomonZelman
this in bold is the distance travelled in miles, and then divide by 7 to find the number of hours saved.
SolomonZelman
  • SolomonZelman
http://www.wolframalpha.com/input/?i=%28%2885%2B65%29-%E2%88%9A%2888%C2%B2%2B65%C2%B2%29%29%2F7 yes just a bit less than 6
DarkBlueChocobo
  • DarkBlueChocobo
So 5.799 hours saved?
SolomonZelman
  • SolomonZelman
Yes.
SolomonZelman
  • SolomonZelman
(If you would like we can do a by-hand approximation (I mean Taylor Polynomial) of the square root.....)
DarkBlueChocobo
  • DarkBlueChocobo
Wells this is an example problem from my engineering textbook. Was just wondering how to get the time saved, but why do we do *(85+66) - √[88²+65²]*
DarkBlueChocobo
  • DarkBlueChocobo
is it because 88+66 is the walking around the corner
DarkBlueChocobo
  • DarkBlueChocobo
and sqrt88^2+65^2 is the cut through? Also why do we square this?
SolomonZelman
  • SolomonZelman
well, (85+66) miles is the distance that takes you to walk without cuttting across, correct?
DarkBlueChocobo
  • DarkBlueChocobo
Yes
SolomonZelman
  • SolomonZelman
And *√[88²+65²] miles* is the distance that takes you when you cut across.
SolomonZelman
  • SolomonZelman
So, the distance you saved by walking across is (85+66) - √[88²+65²]
DarkBlueChocobo
  • DarkBlueChocobo
wait also where did the 88 come from?
SolomonZelman
  • SolomonZelman
Oh, typo
SolomonZelman
  • SolomonZelman
I apologize
SolomonZelman
  • SolomonZelman
88 should be 85
DarkBlueChocobo
  • DarkBlueChocobo
so that means that the hours saved would be 6.285
SolomonZelman
  • SolomonZelman
When you cut, you walk: *√[85²+66²] miles* Without cutting across *(85+66) miles* And then *(85+66) - √[85²+66²] miles* is the distance that you have saved by cutting across. THEN, the time your have saved [knowing that you walk 7 miles per hour] *( (85+66) - √[85²+66²] ) / 7*
DarkBlueChocobo
  • DarkBlueChocobo
Alright That makes a lot more sense putting it that way
SolomonZelman
  • SolomonZelman
6.19784932
SolomonZelman
  • SolomonZelman
yw

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