Answer:
The length of Big Ben shadow is 252.8 feet
Step-by-step explanation:
The given parameters are;
The height of the Big Ben clocktower in London ≈ 316 feet tall
The length of the shadow Shana casts = 4-foot
The height of Shania = 5 feet
Therefore, we have, by similar triangles;
[tex]\dfrac{The \ length \ of \ the \ shadow \ Shana \ casts }{The \ height \ of \ Shania} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{The \ height \ of \ the \ Big \ Ben \ clocktower}[/tex]Substituting the values, gives;
[tex]\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{316 \ feet}[/tex]
[tex]The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts = 316 \ feet \times \dfrac{4 \ feet}{5 \ feet} = 252.8 \ feet[/tex]
The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet
