Answer:
a) Approximate height of the statue: 144 feet
b) The approximate height is 1.7% greater that the actual height of the statue.
Explanation
1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:
statue's height student's height
________________________ = ______________________
length of the statue's right arm length of student's right arm
⇒ x / 54 feet = (5 + 1/3) feet / 2 feet
⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet
Answer: 144 feet
2) Compare the approximate heigth obtained with the actual height:
144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet
1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.
Hence, the approximate feet obtained is 1/4 feet larger than the actual height.
In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.
