SOLUTION: The angle of elevation of the top of the TV antenna mounted on top of a certain tower is measured to be 84degrees 22​'12​'' at a point 180 ft from the base of the tower

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

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F60 + 12%2F3600 = 84.37 degrees
:
let h = the height of the tower
Use the tangent of 84.37
tan(84.37) = h%2F180
h = 180*(tan(84.37)
h ~ 1826 ft