Answer:
The actual height is 4.896 m
Step-by-step explanation:
Given
[tex]Ratio= 1 : 48[/tex]
[tex]Scale\ Height = 102mm[/tex]
Required
Determine the actual height in metres
Represent the actual height with x.
So, the ratio of Scale Height to Actual Height as:
[tex]Ratio = 102mm : x[/tex]
To calculate x, both ratios must be equal
[tex]1 :48 = 102mm:x[/tex]
Convert to fraction
[tex]\frac{1}{48} = \frac{102mm}{x}[/tex]
Cross Multiply
[tex]x * 1 = 48 * 102mm[/tex]
[tex]x = 4896mm[/tex]
Convert mm to metres
[tex]x = 4896 * 0.001m[/tex]
[tex]x = 4.896m[/tex]
The actual height is 4.896 m
