Let's break down the problem step by step to convert the height from feet to meters.
### Step 1: Convert feet to inches
We know that 1 foot is equal to 12 inches. So, to convert the height from feet to inches:
[tex]\[ \text{Height in inches} = \text{Height in feet} \times 12 \][/tex]
Given the height in feet is 5.60 ft:
[tex]\[ \text{Height in inches} = 5.60 \, \text{ft} \times 12 \, \text{inches/ft} \][/tex]
[tex]\[ \text{Height in inches} = 67.20 \, \text{inches} \][/tex]
### Step 2: Convert inches to centimeters
Next, we will convert the height from inches to centimeters. We know that 1 inch is equal to 2.54 centimeters:
[tex]\[ \text{Height in centimeters} = \text{Height in inches} \times 2.54 \][/tex]
Using the height in inches obtained above:
[tex]\[ \text{Height in centimeters} = 67.20 \, \text{inches} \times 2.54 \, \text{cm/inch} \][/tex]
[tex]\[ \text{Height in centimeters} = 170.688 \, \text{cm} \][/tex]
### Step 3: Convert centimeters to meters
Finally, we convert the height from centimeters to meters. We know that 1 centimeter is equal to 0.01 meters:
[tex]\[ \text{Height in meters} = \text{Height in centimeters} \times 0.01 \][/tex]
Using the height in centimeters computed above:
[tex]\[ \text{Height in meters} = 170.688 \, \text{cm} \times 0.01 \, \text{m/cm} \][/tex]
[tex]\[ \text{Height in meters} = 1.70688 \, \text{m} \][/tex]
### Summary
Therefore, given the height of 5.60 ft, the person's height in meters is approximately:
[tex]\[ 1.70688 \, \text{meters} \][/tex]
