On a Texas ranch, a pond is 285 ft in diameter and the land slopes at 4 degrees (from horizontal) away from the pond. What is the pond diameter after a 1.5 in rain if 40% of the rain runs into the pond, and the rain gathering area is 3 acres? (answer in ft)
I've drawn out this problem and thought a lot about it. I surmise that the resulting water increase would be in a frustum. I was trying to find the height of the frustum in order to work backwards and find the new diameter, but I can't seem to find a way. (tried using similar triangles, trig with the 4 degrees) no luck
Could anybody give me another way of thinking or post a solution to this problem? I would greatly appreciate it because I am studying for an upcoming tournament. Thank you!