Right angle word problem
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Right angle word problem

[From: ] [author: ] [Date: 12-05-14] [Hit: ]
The distance between the two towns is 43,209.88 ft., or 8.18 mi.......
When directly over one town, the pilot of a plane notices that the angle of depression of another town is 11 degrees. If the altimeter registers 8400 ft, what is the ground distance (in mi) between the two towns?

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Altitude, y = 8400 ft.
Angle of Depression, Θ = 11°
Distance = x

Tan Θ = y / x
x = y / Tan Θ
x = 8400 / Tan (- 11)
x = 8400 / 0.1944
x = 43209.88

The distance between the two towns is 43,209.88 ft., or 8.18 mi.
 
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