Let AB=L 1, CD=L2, BD=L3, then:
Elevation angle β = Actan [(L2-L1)/L3] = Actan [(75-50)/120] =1/46' 5.84 "
Depression angle α = Actan (l1/L3) = Actan (50/120) = 22 37'11.
2. Solution: (The picture is above, assuming AB is a person and CD is a flagpole)
As shown, then:
β=40,BD=L3= 12m
The human eye is off the ground l1=1.5m.
Then:
Flagpole height L3 = l 1+tanβ* L3
That is L3 = 1.5+tan 40 * 12.
= 2.33 meters