Question

The Big Ben clocktower in London is approximately 316 feet tall. Shana is standing nearby and notices that she casts a 4-foot shadow. If Shana is 5 feet tall, find the length of Big Ben's shadow?

Answer 1

Answer:

252.8 feet

Step-by-step explanation:

Answer 2

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