Answer:
16.5ft
Step-by-step explanation:
In similar triangles the corresponding sides are proportion.
[tex]\sf \dfrac{height \ of \ palm \tree}{shadow \ of \ palm \ tree }=\dfrac{height \ of \ ladder}{shadow \ of \ ladder}[/tex]
[tex]\sf \dfrac{height \ of \ palm \ tree }{44}=\dfrac{6}{16}\\\\\\height \ of \ the \ palm \ tree = \dfrac{6}{16}*44\\[/tex]
[tex]\sf = \dfrac{6}{4}*11\\\\\\=\dfrac{3}{2}*11\\\\=\dfrac{33}{2}\\\\\\=16.5 \ ft[/tex]
