To find the length of the building on the scale drawing, we first need to determine the scale of the drawing based on the height of the building.
The real height of the building is 120 meters, which is represented by 15 centimeters on the scale drawing.
First, we calculate the scale factor:
\[ \text{Scale Factor} = \frac{\text{Height on Drawing}}{\text{Actual Height}} = \frac{15 \text{ cm}}{120 \text{ m}} \]
Since 120 meters is equivalent to 12,000 centimeters (because 1 meter = 100 centimeters), we have:
\[ \text{Scale Factor} = \frac{15 \text{ cm}}{12000 \text{ cm}} = \frac{15}{12000} = \frac{1}{800} \]
This means that every 800 centimeters in reality is represented as 1 centimeter on the drawing.
Now, using the scale factor, we can find the length of the building in the scale drawing. The actual length of the building is 90 meters, which is equivalent to 9,000 centimeters.
Using the scale:
\[ \text{Length on Drawing} = \frac{\text{Actual Length}}{800} = \frac{9000 \text{ cm}}{800} = 11.25 \text{ cm} \]
Thus, the length of the building on the scale drawing is 11.25 centimeters.
0 answers