Move the yellow points to control the location of both the Super Monkey and the balloon.
Use this applet to explore the angle of elevation / depression of the balloon from the Super Monkey!
Explore!
In the applet below, observe the relationship of the angle of elevation of the top of the tower from the red point vs the angle of depression of the red point from the top of the tower.
Next, move the red point about and observe when the angle of elevation will be the greatest.
To view in AR Mode, clickhere to access the file and open the file in Geogebra's 3D Calculator (Apple) (Android).
Did you notice that...
(1) Angle of elevation = Angle of depression (Property of Alternate angles)
(2) The angle of elevation is greatest when the red point is nearest to the tower. That is also when the red point lies on the foot of the perpendicular from the tower to the purple line.