Answer:
82.8424 feet
Step-by-step explanation:
The leaf, the base of the tree and the top of the tree form a triangle.
The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):
tan(46) = h/80 = 1.0355
h = 80*1.0355 = 82.8424 feet
