Answer: The angle of depression between the woman and her friend is 64.83°
Explanation:
The woman in the hot balloon is 94 feet above the ground
Her friend is about 200 feet away from directly being under the balloon.
We may wish to denote the angle of depression between the woman and her friend by "x"°
We can use one of the trigonometric ratios to determine the angle of depression between the woman and her friend:
Opposite/adjacent = tan x°
Where the opposite in this case is 200 feet.
The adjacent in this instance is 94 feet.
Therefore substituting accordingly, we will have:
200/94 = tan x
tan x = 2.128
x° = tan-1 2.128
x°= 64.83°
Therefore the angle of depression between the woman and her friend is 64.83°