Question 1129008
The angle of elevation of the top of the TV antenna mounted on top of a certain tower is measured to be 84 degrees 22​'12​'' at a point 180 ft from the base of the tower.
 How tall is the tower plus TV​ antenna? 

change 84 deg 22 min 12 sec to degrees. 
84 + {{{22/60}}} + {{{12/3600}}} = 84.37 degrees
:
let h = the height of the tower
Use the tangent of 84.37
tan(84.37) = {{{h/180}}}
h = 180*(tan(84.37)
h ~ 1826 ft