A v-shaped trough 5 m long is made from a rectangular sheet of aluminum 100 cm wide by bending it down the middleWhat angle between the sides of the trough will maximize its capacity?
you want to make a V with the length of the 2 sides equal to 100cm and the largest area possible, the fact that it's 5m long doesn't matter at this pointarea width height / 2 or if we look at one side you get a right triangle with hypotenuse of 50cm and area of wh/2 50 sin(a) 50 cos(a) /2 is the area (a is the angle) the interesting trick here is that it doesn't matter if you say (a) is the angle at the edge of the aluminum sheet or the angle at the middlewhich means to maximize your volume they have to be the sametriangle angles add up to 180, and there's already a right angle, so both of the angles are 45 degtherefore your bend angle at the bottom of the trough is 2 time that or 90 degrees.
People who clean toilets hate people with poor aim.
It depends on the toiletIf it's a weak toilet, then yes.
