Body Mass Index (BMI) and waist-to-hip ratio are clinical measurements used to assess a person's body fat distribution and their risk of developing cardiovascular disease, a non-communicable disease.
The table shows health data collected from two patients at a clinic.
| Patient | BMI (kg/m2\text{kg/m}^2kg/m2) | Waist-to-hip ratio |
|---|---|---|
| P | 23.5 | 0.82 |
| Q | 27.2 | ? |
BMI is calculated using the following equation:
BMI=mass in kilograms(height in metres)2 \text{BMI} = \frac{\text{mass in kilograms}}{(\text{height in metres})^2} BMI=(height in metres)2mass in kilogramsPatient Q has a mass of 82.4 kg and a BMI of 27.2 kg/m2.
Calculate the height of Patient Q.
Give your answer in metres to 3 significant figures.