find the length of the third side of necessary round to the nearest tenth

8 degrees 16 degrees

To find the length of the third side of a triangle with angles measuring 8 degrees and 16 degrees, you can use the Law of Sines.

Let a be the length of the side opposite the angle measuring 8 degrees, and b be the length of the side opposite the angle measuring 16 degrees.

Then, according to the Law of Sines:

a/sin(8) = b/sin(16)

To find the length of the third side, you need to know the length of one of the other sides. Without that information, you cannot determine the length of the third side.