How would i do this one?
from a balloon 760 feet high, the angle of depression to the ranger headquarters is 89á18'. how far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

The headquarters is 9 ft away from a point on the ground directly below the balloon .

Step-by-step explanation:

The height of balloon is 760 ft and the angle of depression is 89°18' = °.

A right angled triangle is formed ( as shown in figure ) .Let x represent the distance of headquarters from a point on the ground directly below the balloon .

81.85 x= 760 .[ Tan 89.3= 81.85]

Dividing both sides by 81.85:

x= 9.3

Or x=9 ft ( rounded to nearest foot)

The headquarters is 9 ft away from a point on the ground directly below the balloon .