Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 7 kg. The ropes, fastened at different heights, make angles of 52° and 40° with the horizontal. Give your answers correct to two decimal places. (Use g = 9.8 m/s2 for the acceleration due to gravity.)
(a) Find the tension in 3 m rope.
(b) Find the tension in 5 m rope.