What is the angle of depression between a woman in a hot air balloon that is 94 feet off the ground and her friend that is 200 feet from being directly underneath the balloon

The angle of depression between the woman and her friend is 64.83°

Step-by-step 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°

answer4 to the second power is 16

and 4 to the third power is 64,