A large (15kg) holiday decoration is suspended on either side of Hay Street in Perth by two cables stretching between buildings. The length of the first cable is

8m, the second is 6m and the buildings are 12m apart. The 8m rope hangs at an angle 26.4° below the horizontal while the 6m rope hangs at 36.3°.

a. Draw a vector diagram of this situation

b. Find the tension in each cable.