To convert the height of a building from meters to yards, feet, and inches, we'll follow these steps:
1. Convert meters to yards using the conversion ratio:
- The given height of the building is 15 meters.
- Conversion ratio: [tex]\( 1 \text{ meter} = 1.1 \text{ yards} \)[/tex]
[tex]\[
15 \text{ meters} \times 1.1 \text{ yards/meter} = 16.5 \text{ yards}
\][/tex]
2. Separate the whole number of yards from the decimal:
- 16.5 yards can be broken down into 16 whole yards plus 0.5 yards.
[tex]\[
\text{Whole yards} = 16 \quad;\quad \text{Remaining yards} = 0.5
\][/tex]
3. Convert the remaining yards to feet using the conversion ratio:
- Conversion ratio: [tex]\( 1 \text{ yard} = 3 \text{ feet} \)[/tex]
[tex]\[
0.5 \text{ yards} \times 3 \text{ feet/yard} = 1.5 \text{ feet}
\][/tex]
4. Separate the whole number of feet from the decimal:
- 1.5 feet can be broken down into 1 whole foot plus 0.5 feet.
[tex]\[
\text{Whole feet} = 1 \quad;\quad \text{Remaining feet} = 0.5
\][/tex]
5. Convert the remaining feet to inches using the conversion ratio:
- Conversion ratio: [tex]\( 1 \text{ foot} = 12 \text{ inches} \)[/tex]
[tex]\[
0.5 \text{ feet} \times 12 \text{ inches/foot} = 6.0 \text{ inches}
\][/tex]
6. Round the result to the nearest tenth:
- 6.0 inches is already at a single decimal place.
The final result for the height of the building is:
- 16 yards 1 foot 6.0 inches.
Thus, the correct answer is option C:
[tex]\[ \boxed{16 \text{ yd } 1 \text{ ft } 6.0 \text{ in}} \][/tex]
