Answer: Height of a tree is 47.67 feet.
Step-by-step explanation:
Since we have given that
Melissa is standing 40 ft away from the tree,
The angle of elevation from where she is standing on the ground to the top of the tree is [tex]50\textdegree[/tex]
so, the figure shown below:
In ΔABC,
[tex]\tan 50\textdegreee=\frac{AB}{BC}\\\\\tan 50\textdegreee=\frac{AB}{40}\\\\\tan 50\textdegreee\times 40=AB\\\\11.91\times 40=AB\\\\47.67\ ft=AB[/tex]
Hence, Height of a tree is 47.67 feet.
