Aladder 10 ft long rests against a vertical wall. let theta be the angle between the top of the ladder and the wall and let be the distance from the bottom of the ladder to the wall. if the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta=pi/3?

At the "no mutants allowed" country farm, every sheep has 4 legs, every chicken has two legs, and all animals have only 1 head. asked to count how many sheep and chicken are in the fields, a farm boy reports back that there are 140 feet and 50 heads. how many sheep and chicken are there? there are sheep and chicken at the farm.