Answer:
The actual length of the bridge is 600 meters
Step-by-step explanation:
we know that
The scale on a map is
[tex]\frac{1}{40,000}[/tex]
That means
1 unit on a map represent 40,000 units in the actual
1 cm on a map represent 40,000 cm in the actual
Remember that
[tex]1/ m=100/ cm[/tex]
so
[tex]40,000\ cm=40,000/100=400\ m[/tex]
we can rewrite the scale as
[tex]\frac{1}{400}\frac{cm}{m}[/tex]
using proportion
Find out the actual length of the bridge in meters if the length of a bridge on a map is 1.5 cm.
Let
x ----> the the actual length of the bridge in meters
[tex]\frac{1}{400}\frac{cm}{m}=\frac{1.5}{x}\frac{cm}{m}\\\\x=400(1.5)\\\\x=600\ m[/tex]
