Answer: 60 inches
Step-by-step explanation:
Let x be the height of son in the beginning of the year.
If the height is increased 110% at the end of the year , then his height in the end of the year = 110% of x
[tex]=1.1x[/tex] [since 110%=1.1]
Since, his height at the end of the year = 66 inches
[tex]\\\Rightarrow\ 1.1 x=66\\\Rightarrow\ x=\frac{66}{1.1}=60[/tex]
Hence, the height of Mrs. Peters son in the beginning of the year is 60 inches.