According to the given data we have the following:
hypotenuse=13.5cm
right triangle contains another angle of 50 degrees
length of the side opposite=x
Therefore, to calculate the length of the side opposite we would have to make the following calculation:
cos 50=x/13.5
0.6427=x/13.5
x=0.6427*13.5
x=8.7
Therefore, the length of the side opposite the 50-degree angle would be 8.7 cm