Abuilding lot in a city is shaped as a 30° -60° -90° triangle. the side opposite the 30° angle measures 41 feet. a. find the length of the side of the lot opposite the 60° angle. b. find the length of the hypotenuse of the triangular lot. c. find the sine, cosine, and tangent of the 30° angle in the lot. write your answers as decimals rounded to four decimal places

There is an entrance to the computer room at point e which lies on ab and is 5 feet from point a. plot point e on the coordinate plane. find the distance from the entrance at point e to the printer at point e

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

You dug a hole that was 8 feet deep. after taking a short break, you dug down 3 more feet in the same hole. when finished digging, a tractor accidentally filled the hole with 4 feet of dirt. how deep is your hole now?