t has been determined that at the age of 15 , a boy has reached \( 96.1 \% \) of his final adult height. Jaraan is 5 ft 10 in . at he age of 15 . What will his final adult height be? Jaraan's final height will be \( \square \mathrm{ft} \square \mathrm{in} \). (Round to the nearest whole number as needed.)

To find Jaraan's final adult height, we can set up the following equation based on the information given. If \( H \) represents his final adult height in inches, then we know that at age 15, he is 96.1% of that height: \[ \frac{96.1}{100} \times H = 5 \text{ ft } 10 \text{ in} \] First, convert his height to inches: 5 feet = 60 inches, so 5 ft 10 in = 60 in + 10 in = 70 inches. Now we can plug that into the equation: \[ 0.961 \times H = 70 \] Now, solve for \( H \): \[ H = \frac{70}{0.961} \approx 72.9 \text{ inches} \] Finally, convert 72.9 inches back to feet and inches: 72 inches is 6 feet, and the remaining 0.9 inches is about 11 inches (since 0.9 inches is quite close to an inch). So, rounding to the nearest whole number, Jaraan's final adult height will be approximately: Jaraan's final height will be \( 6 \text{ ft } 1 \text{ in} \).