A community for students.
Here's the question you clicked on:
 0 viewing
DarkBlueChocobo
 one year ago
Help with application problem
DarkBlueChocobo
 one year ago
Help with application problem

This Question is Closed

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0Your 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
 one year ago
Best ResponseYou've already chosen the best response.0So i sketched it out

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Pythagorean Theorem

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443659413569:dw

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.085^2+66^2=x^2 sqrt11581 = x 107.6=x

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0So in order to find how much time it saves we have to change 7 miles per hour to 6 meters per hour?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 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
 one year ago
Best ResponseYou've already chosen the best response.0how many meters***

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1this in bold is the distance travelled in miles, and then divide by 7 to find the number of hours saved.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1http://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
 one year ago
Best ResponseYou've already chosen the best response.0So 5.799 hours saved?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(If you would like we can do a byhand approximation (I mean Taylor Polynomial) of the square root.....)

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0Wells 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
 one year ago
Best ResponseYou've already chosen the best response.0is it because 88+66 is the walking around the corner

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0and sqrt88^2+65^2 is the cut through? Also why do we square this?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1well, (85+66) miles is the distance that takes you to walk without cuttting across, correct?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1And *√[88²+65²] miles* is the distance that takes you when you cut across.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So, the distance you saved by walking across is (85+66)  √[88²+65²]

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0wait also where did the 88 come from?

DarkBlueChocobo
 one year ago
Best ResponseYou've already chosen the best response.0so that means that the hours saved would be 6.285

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1When 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
 one year ago
Best ResponseYou've already chosen the best response.0Alright That makes a lot more sense putting it that way
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.