Question

lannah has a miniature scale model of the Eiffel Tower. The diagram below compares the dimensions of Hannah's model and the real tower in Paris, France. The triangles in the diagram are similar

Answer 1

Since both triangles are similar, the ratio between their corresponding sides is constant; therefore,

$\frac{124.9m}{10cm}=\frac{xm}{27cm}$

The units are included in the expression above. Solving for x,

$\begin{gathered} \Rightarrow xm=124.9m*(\frac{27cm}{10cm})=124.9m*2.7 \\ \Rightarrow xm=337.23m \\ \Rightarrow x=337.23 \\ \Rightarrow x\approx337 \end{gathered}$

Thus, the rounded answer is 337m