In a right rectangle, we have:


For your exercice, hypotenuse=12
The exercise also inform the angle 60°, then:

There's always a decimal at the end of a whole number. here it's behind
the last zero. move that decimal so that the non-zero digit is less than
10 but more than 1.
4.73, the decimal was moved 4 places to the left. so the scientific notation is
4.72X10^4
To find which ratio is higher, we can first convert the ratios into fractions (that makes it easier, at least for me) and then simplify the fractions and see which one is greater.
Since ratios are basically division, 15:20 =
, and
12:16 = 
Now we simplify these fractions. 15 and 20 have a GCF of 5, so taking out the common number gives us the simplified fraction of
.
12 and 16 have a GCF of 4, so taking out the common number gives us the simplified fraction of
. Since
=
, these ratios are the same.