Question

To properly view a Snellen eye chart, if the tallest letter is \[88\] millimeters \[(\text{mm})\] tall, the person should stand \[6\] meters \[(\text{m})\] from the chart. The distance is proportional to the height of the tallest letter. How many meters from the chart should the person stand if the tallest letter is \[45\,\text{mm}\] tall? Round to the nearest hundredth of a meter.

Answer 1

The person should stand at an approximate of 3.0682 meters from the chart.

We must set up a proportion to solve for the distance which the person should stand from the chart when the tallest letter is 45 mm tall.

The proportion is:

(88 mm) / (6 m) = (45 mm) / (x m)

Now, we solve as follows

88 mm * x m = 45 mm * 6 m

88 mm * x m / 88mm = 45 mm * 6 m / 88mm

x m = (45 mm * 6 m) / 88 mm

x = (270 m*mm) / 88 mm

x = 3.06818182 meters

x = 3.07 meters

Therefore, the person should stand 3.0682 meters from the chart.

The full question is:

To properly view a Snellen eye chart, if the tallest letter is 88 millimeters (mm) tall, the person should stand 6 meters (m) from the chart. The distance is proportional to the height of the tallest letter. How many meters from the chart should the person stand if the tallest letter is 45 mm tall?