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Sandra is 4 feet tall. Pablo is 11% taller than Sandra, and Michaela is 5% taller than Pablo. Michaela's height is approximately _______ feet and______inch(es).

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Final answer:

To find Michaela's height, calculate Pablo's height as 11% taller than Sandra's, then calculate Michaela's height as 5% taller than Pablo's. After converting the decimal feet to inches, Michaela's height is approximately 4 feet and 8 inches.

Step-by-step explanation:

The question involves calculating height differences based on percentage increases. First, let's determine Pablo's height. Since Pablo is 11% taller than Sandra, we calculate his height as follows:

Height of Sandra = 4 feet

Height of Pablo = Sandra's height + (11% of Sandra's height)
= 4 feet + (0.11 × 4 feet)
= 4 feet + 0.44 feet
= 4.44 feet

Next, we need to calculate Michaela's height, who is 5% taller than Pablo:

Height of Michaela = Pablo's height + (5% of Pablo's height)
= 4.44 feet + (0.05 × 4.44 feet)
= 4.44 feet + 0.222 feet
= 4.662 feet

To convert Michaela's height into feet and inches, we know that 1 foot = 12 inches. So:

0.662 feet × 12 inches/foot = 7.944 inches ≈ 8 inches

Therefore, Michaela's height is approximately 4 feet and 8 inches.

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