Question

Catalina está de pie al lado de la estatua en el parque. Si Catalina mide 1.52 metros de alto, su sombra mide 0.91 metros de alto y la sombra de la estatua mide 3.20 metros de largo, ¿qué altura, en metros, tiene la estatua?

Answer 1

Answer: 5.34 m

Step-by-step explanation:

According to this description, the statue and its shadow form a right triangle; and Catalina and her shadow form a smaller right triangle. This means we have to similar triangles:

For the bigger triangle (Statue's triangle) we have two sides:

$H$ Statue's height

$L=3.20 m$ Statue's shadow length

For the smaller triangle (Catlina's triangle) we also have two sides:

$h=1.52 m$ Catalina's height

$l=0.91 m$ Catalina's shadow length

So, in this case we can use the similar triangle proportion, in order to find $H$:

$\frac{H}{h}=\frac{L}{l}$

$\frac{H}{1.52 m}=\frac{3.20 m}{0.91 m}$

Isolating $H$:

$H=5.34 m$ This is the statue's height