Answer:
149.43 feet tall
Step-by-step explanation:
From the base of a large tree, a bird watcher is standing 50 feet away.
There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.
If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that
tan 71.5° = [tex]\frac{h}{Base}[/tex] = [tex]\frac{h}{50}[/tex]
Hence, h = 50 tan 71.5° =149.43 feet.
Therefore, the tree is 149.43 feet tall. (Answer)
