Answer:the distance from the headquarters from a point on the ground directly below the balloon is
175 feet
Step-by-step explanation:
The right angle triangle ABC formed is shown in the attached photo. C represents the position of the balloon.
A represents the position of the ranger headquarters.
x represents the distance from the headquarters from a point on the ground directly below the balloon.
1 minute = 0.0167 degrees
Converting 43' to degrees, it becomes 43 × 0.0167 = 0.7181
Angle A = 66 + 0.7181 = 66.7181 degrees.
We would apply trigonometric ratio
Tan # = opposite side/ adjacent side
# = 66.7181 degrees.
opposite side = 1106
Tan 66.7181 = 1106/x
6.324 = 1106/x
x = 1106/6.324
x = 175 feet
