Answer:
Tower is 9 ft tall when it is finished.
Step-by-step explanation:
Given that:
Height of the tower when Dominic takes a break = [tex]4\frac{1}{2}[/tex] feet
The height of the tower as built by Dominic = [tex]\frac{3}8[/tex] of the total height
Let the total height of the tower to be built = [tex]x[/tex] feet
Let us have a look at the method to convert mixed fraction to a fractional number.
[tex]a\dfrac{b}{c} = \dfrac{a\times c +b}c\\\Rightarrow 4\dfrac{1}{2} = \dfrac{4\times 2 +1}{2}=\dfrac{9}2[/tex]
As per question statement, [tex]\frac{3}8[/tex] of the total height is equal to [tex]4\frac{1}{2}[/tex] feet.
We can write the equation as:
[tex]\dfrac{3}{8}x = \dfrac{9}{2}\\\Rightarrow x = \dfrac{9}{2}\times \dfrac{8}{3}\\\Rightarrow x = \dfrac{72}{6}\\\Rightarrow x = \bold{9\ ft}[/tex]
Therefore, tower is 9 ft tall when it is finished.
