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- Nov 7th 2018, 12:08 PManimalpantsFind angle for maximized volume of trapezoid
I need help on thisAttachment 39108

- Nov 7th 2018, 01:54 PMPlatoRe: Find angle for maximized volume of trapezoid
Attachment 39110

Area of the trapezoid is $A=\dfrac{1}{2}h(U+L)$ U is the upper base and $U=2x+10$ & lower base is $L=10$

Because the bases of a trapezoid are parallel the upper angle is $\theta$, alternate angles.

Using trigonometry we get $\cos(\theta)=\frac{x}{10}~\&~\sin(\theta)=\frac{h }{10} $

Now we are able to expresss area $A(\theta)$ and maximize using $d\theta$ . - Nov 7th 2018, 04:13 PManimalpantsRe: Find angle for maximized volume of trapezoid
thanks