Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Jake789
Group Title
From problem set 4 unit 2C problem 10
I have some problems understanding the solution. The goal is to find the route that requires the minimum time to travel between to points. The equation to optimize is T=[(x^2+100^2)^1/2]/5+[((ax)^2+100^2)^1/2]/2 .I differentiate obtaining the same result as the solution which is t prime equals to: [x/5(100^2+x^2)^1/2]+[ax/2((ax)^2+100^2)^1/2]. At this point the solution substitutes both terms with sin, but both numerators are adjacent side to the angles not opposite.. Could someone please help me understand better this problem? Thank you in advance
 one year ago
 one year ago
Jake789 Group Title
From problem set 4 unit 2C problem 10 I have some problems understanding the solution. The goal is to find the route that requires the minimum time to travel between to points. The equation to optimize is T=[(x^2+100^2)^1/2]/5+[((ax)^2+100^2)^1/2]/2 .I differentiate obtaining the same result as the solution which is t prime equals to: [x/5(100^2+x^2)^1/2]+[ax/2((ax)^2+100^2)^1/2]. At this point the solution substitutes both terms with sin, but both numerators are adjacent side to the angles not opposite.. Could someone please help me understand better this problem? Thank you in advance
 one year ago
 one year ago

This Question is Closed

creeksider Group TitleBest ResponseYou've already chosen the best response.2
We get this question here about once a week, because the problem and solution given in the materials are erroneous. The most important errors in the problem was labeling the wrong angles alpha and beta, which should instead be angles made with a line perpendicular to the shore rather than angles made with the shore. The error switches the result to cosine because the sine of an angle equals the cosine of its complement. Here's a corrected version of the problem and solution: http://assets.openstudy.com/updates/attachments/522ad142e4b0a8663d5580c8creeksider13785618664642c10corrected.pdf
 one year ago
See more questions >>>
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.