Question

find the length of a tree if the angle of depression to its topmost part changes from 25 degrees to 45 degrees as the observer moves 10 m closer to the base of the tree

Answer 1

(hite+10)*tan(25 deg)=hite*tan(45 deg)=hite

(hite+10)=hite / tan(25 deg)

tan(25 deg)=0.3838640350354158

1/tan(25 deg)=2.6050890649341505

so (hite+10)=2.605089...*hite

or (2.605089 -1)*hite=10

so hite=10/1.60508906493415...hite=0.6230183868720717*10

hite=6.230183868720717

or bout 6.23