A 460 kg piano is being lowered into position by a crane while two people steady it with ropes pulling to the sides. Bob's rope pulls to the left, 15 degrees below horizontal, with 510 N of tension. Ellen's rope pulls toward the right, 27 degrees below horizontal.
a) What tension must Ellen maintain in her rope to keep the piano descending at a steady speed?
b) What is the tension in the main cable supporting the piano?