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:
[tex]H[/tex] Statue's height
[tex]L=3.20 m[/tex] Statue's shadow length
For the smaller triangle (Catlina's triangle) we also have two sides:
[tex]h=1.52 m[/tex] Catalina's height
[tex]l=0.91 m[/tex] Catalina's shadow length
So, in this case we can use the similar triangle proportion, in order to find [tex]H[/tex]:
[tex]\frac{H}{h}=\frac{L}{l}[/tex]
[tex]\frac{H}{1.52 m}=\frac{3.20 m}{0.91 m}[/tex]
Isolating [tex]H[/tex]:
[tex]H=5.34 m[/tex] This is the statue's height
