Answer
use the body-mass index formula to find the height;
the height of the patient is $60 \text{ inches}$
Work Step by Step
The nurse can use the body-mass index formula, $B=\dfrac{705w}{h^2},$ to compute the height of the patient.
Using the body-mass index formula, then
\begin{align*}
B=\dfrac{705w}{h^2}
\\\\
47=\dfrac{705(240)}{h^2}
\\\\
47(h^2)=705(240)
\\\\
h^2=\dfrac{705(240)}{47}
\\\\
h^2=3600
\\\\
h=60
.\end{align*}
Hence, the height of the patient is $60 \text{ inches}
.$
