Answer: 9 yards
Step-by-step explanation:
Given
The maple tree is 16 yards tall and its shadow is 12 yards tall
Suppose the angle made by the maple tree is x
[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]
For the tower also, the angle made by the tower and its shadow is x
Suppose the length of the shadow is y
[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]
Substitute the value of [tex]\cos x[/tex]
[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]
