The height of the mountain is 1.994 miles.
"The angle of elevation is a widely used concept related to height and distance, especially in trigonometry. It is defined as an angle between the horizontal plane and oblique line from the observer’s eye to some object above his eye. Eventually, this angle is formed above the surface. As the name itself suggests, the angle of elevation is so formed that it is above the observer’s eye."
Given,
The angle of elevation from the top of the mountain is = 14°.
Also, the base of from the mountain to the campfires is = 8 miles.
Using trigonometry,
[tex]tan(\theta) = perpendicular/ base \\tan(14 degree) = x/8 \\x = 0.249*8 = 1.994[/tex]
Hence, the height of the mountain is 1.994.
To know more about angle of elevation here
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