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From a hot air ballon 2,500 ft above the ground, you can see a clearing whose angle of depression is 25 degrees to. The nearest foot, what is your horizontal distance from clearing?

Respuesta :

Horizontal distance from clearing = 1166 ft

Step-by-step explanation:

Refer the figure.

We need to find horizontal distance from clearing

Horizontal distance from clearing = BC

Height of hot air balloon = AB = 2500 ft

Angle = 25 degrees

We have

        [tex]tan25=\frac{AB}{BC}\\\\BC=2500tan25\\\\BC=1165.77ft[/tex]

Horizontal distance from clearing = 1166 ft

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