15. [-/10 Points) DETAILS SERPSE10 1.A.0P.031.MI. A high fountain of water is located at the center of a circular pool as shown in thi pool and measures its circumference to be 23.8 m. Next, the student stands at th to gauge the angle of elevation of the top of the fountain to be g - 54.0°. How hi mA high fountain of water is located at the center of a circular pool as shown in the figure below. A student walks around the pool and measures its circumference to be 23.8 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be p = 54.0°. How high is the fountain?

Any shape's perimeter, or route around it, may be described by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's boundary is. The measurement of the circle's boundaries is known as the circumference or perimeter of the circle.
circumference of pool = 23.8m
2πr = 23.8m
r = 3.788m
The angle formed between the horizontal line and the line of sight of a certain observer is known as the angle of elevation. The angle of elevation, as implied by its name, refers to the angle created when an item is viewed from below by the observer and their line of sight.
angle of elevation of fountain = 54°
let height of fountain be "h"
Tan(54°) = h/r
h = Tan(54°)*r
h = 1.37638192 * 3.788
h = 5.213m

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