Question

you are 55 ft from a tree. the angle of elevation from your eyes, which are 4.5 ft off the ground, to the top of tree is 61 degrees. to the nearest foot, how tall is thr tree

Answer 1

See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 61=BC/AC-------> BC=AC*tan 61--------> BC=55*tan 61-----> BC=99.22 ft

tall of the tree =BC+CD-----> 99.22+4.5----> 103.72 ft------> 104 ft

the answer is
104 ft