Answer:
Angle of elevation = 34°
Step-by-step explanation:
The horizontal lines of sight from the base of the tree and the balloon are parallel, The direct line of sight from the balloon to the base of the tree acts as a transversal to these parallel horizontal lines.
According to the Alternate Interior Angles theorem, when two parallel lines are intersected by a transversal, the angles that are inside the parallel lines and on the opposite sides of the transversal are congruent.
Therefore, the angle of elevation from the base of the tree to the balloon is equal to the angle of depression from the balloon to the base of the tree. Given that the angle of depression is 34°, then:
[tex]\Large\textsf{Angle of elevation $= \boxed{\sf 34^{\circ}}$}[/tex]
