Answer:
The tower is 48 ft tall.
Step-by-step explanation:
Refer to the figure attached.
Triangle ACD is similar to triangle BCE.
This means the proportion to some sides is the same, for example:
[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]
Substituting the values:
[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]
Multiplying by 64H:
[tex]8H=64*6[/tex]
Dividing by 8:
[tex]H=64*6/8=48[/tex]
The tower is 48 ft tall.
