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kotykmax [81]
3 years ago
6

The Big Ben clocktower in London is approximately 316 feet tall. Shana is standing nearby and notices that she casts a 4-foot sh

adow. If Shana is 5 feet tall, find the length of Big Ben's shadow?
Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

252.8 feet

Step-by-step explanation:

Gekata [30.6K]3 years ago
4 0

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;

\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}Substituting the values, gives;

\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben  \ casts}{316 \ feet}

The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts  = 316 \ feet \times   \dfrac{4 \ feet}{5 \ feet}  = 252.8 \ feet

The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet

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