Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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|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
add comment

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.