A boy 1.4m tall stood 10m away from a tree of height 12m. calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes

3 answers

eyes are not on top of head ...

tan(θ) = (12 - 1.4) / 10
Answer
The height of the tree above the boy is 12-1.4=10.6
Using tan#= opposite /adjacent where # is the angle of elevation
tan#=10.6/10
hence #= 46.67 degrees