Question 1120833
A lumberjack determines that the angle of inclination from point A to the top of a tree is 41o.
 He then walks towards the tree to point B and determines that the angle of inclination is 63o. 
 If the tree is 215 ft tall, how far did the lumberjack walk from point A to point B?
:
draw this
a = the dist from his initial position to the base of the tree
b = the dist from the point he walked to, to the base of the tree
:
use the tangent of the angles
tan(41) = {{{215/a}}}
a = {{{215/tan(41)}}}
a = 247.33 ft
and
tan(63) = {{{215/b}}} 
b = {{{215/tan(63)}}}
b = 109.55 ft
:
247.33 - 109.55 = 137.78 ft, the dist he walked