Answer :
The estimated height of Anna at the age of 20 years is 166.6 cm and the estimated height of Raja at the age of 30 years is 225.3 cm.
A) Anna is 11 years old, and her height is 150 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.
So, Anna has achieved 90% of her final height, which is (150/0.9) = 166.67 cm.
Therefore, her final height can be estimated to be 98% of 166.67 cm, which is (166.67 x 0.98) = 163.33 cm
when she's 17 years old.
Now, to calculate her height at the age of 20 years, we will calculate the growth per year in 3 years. We know that she's already 98% of her final height at 17, which means only 2% of growth is remaining. So, the remaining growth is (2/100) x 163.33 = 3.27 cm.
Hence, Anna's height at the age of 20 years will be (163.33 + 3.27) = 166.6 cm.
B) Raja is 17 years old, and her height is 176 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.
So, Raja has achieved 98% of her final height, which is 176 cm. Therefore, her final height can be estimated to be 176/0.98 = 179.6 cm when she's 17 years old.
Now, to calculate her height at the age of 30 years, we will calculate the growth per year in 13 years.
So, the remaining growth for Raja will be (100 - 98)% = 2%, which is (2/100) x 179.6 = 3.592 cm per year.
Hence, Raja's height at the age of 30 years will be (176 + (3.592 x 13)) = 225.3 cm.
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The estimated height of Anna at the age of 20 years is 166.6 cm and the estimated height of Raja at the age of 30 years is 225.3 cm.
A) Anna is 11 years old, and her height is 150 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.
So, Anna has achieved 90% of her final height, which is (150/0.9) = 166.67 cm.
Therefore, her final height can be estimated to be 98% of 166.67 cm, which is (166.67 x 0.98) = 163.33 cm
when she's 17 years old.
Now, to calculate her height at the age of 20 years, we will calculate the growth per year in 3 years. We know that she's already 98% of her final height at 17, which means only 2% of growth is remaining. So, the remaining growth is (2/100) x 163.33 = 3.27 cm.
Hence, Anna's height at the age of 20 years will be (163.33 + 3.27) = 166.6 cm.
B) Raja is 17 years old, and her height is 176 cm. It's given that an average girl reaches 90% of her final height by the time she was 11 years old and 98% of her final height when she was 17 years old.
So, Raja has achieved 98% of her final height, which is 176 cm. Therefore, her final height can be estimated to be 176/0.98 = 179.6 cm when she's 17 years old.
Now, to calculate her height at the age of 30 years, we will calculate the growth per year in 13 years.
So, the remaining growth for Raja will be (100 - 98)% = 2%, which is (2/100) x 179.6 = 3.592 cm per year.
Hence, Raja's height at the age of 30 years will be (176 + (3.592 x 13)) = 225.3 cm.
Learn more about height -
brainly.com/question/28122539
#SPJ11
