To convert a height from feet and inches to centimeters, you can use the conversion factors:
- 1 foot = 30.48 cm
- 1 inch = 2.54 cm
First, we will convert 5 feet and 3 inches into inches: \[ 5 \text{ feet} = 5 \times 12 \text{ inches} = 60 \text{ inches} \] Adding the additional 3 inches: \[ 60 \text{ inches} + 3 \text{ inches} = 63 \text{ inches} \]
Next, we convert 63 inches to centimeters: \[ 63 \text{ inches} \times 2.54 \text{ cm/inch} = 160.02 \text{ cm} \]
Rounding to the nearest hundredth, the patient's height is: \[ \boxed{160.02} \text{ cm} \]