A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 190 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 55°. How high is the fountain?
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Answer:
The height of the fountain is 43.20m
Data;
circumference = 190m
angle = 55 degrees.
Circumference of a Circle
The circumference of a circle is given as
Let's calculate the radius of the circle
Assuming the radius of the pool makes a right angle triangle with the top of the fountain;
From the calculations above, the height of the fountain is 43.20m
Learn more on right-angle triangles here;
brainly.com/question/22790996
Explanation: