A surveyor stands 150ft from the base of a tree and measures the angle of elevation to be 46.2. His eye level is 6feet above the ground. What is the height of the tree to the nearest foot?

3 answers

If the height is h, then

(h-6)/150 = tan 46.2°
is the answer 192
I'd be interested in seeing your work. I get

(h-6)/150 = tan 46.2°
(h-6)/150 = 1.04
h-6 = 156.42
h = 162.42