Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Im not sure if this question is easy or not, the concept of what I'm asking seems simple but I cant figure it out.

enter image description here

Given that A0 = 100, and h = 10, how would I calculate Az.

enter image description here

I have begun by trying to calculate 'x' and then obtain the slope from this but I dont know if I'm over complicating the situation. Can anyone suggest a method for this?

share|cite|improve this question
    
The best you can do is write $AZ=100-2x$. Are you trying to find the minimum value of the perimeter of such a trapezoid? If so, note the length of the left/right side is, by the Pythagorean Theorem, $\sqrt{10^2+x^2}$. – David Mitra Jan 10 '13 at 15:44
    
What keeps $Az$ from being zero (or arbitrarily close to it)? You need more information. – Ross Millikan Jan 10 '13 at 16:05
    
Thanks for your comments. I am trying to calculate the volume of water in a theoretical lake where as h (the lake depth) increases Az decreases (assuming a conical shaped lake). From your comments I gather that I need the slope (angle), which I could take to be anything really. – KatyB Jan 10 '13 at 16:23

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.