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Please Explain for full Credit, answer in meters A high fountain of water is loc

ID: 2160252 • Letter: P

Question

Please Explain for full Credit, answer in meters

A high fountain of water is located at the center of a circular pool as in the figure below. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 10.0 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55.0degree. How high is the fountain? Your response differs from the correct answer by more than 10%. Double check your calculations. m

Explanation / Answer

10=2pi*r r=10/2pi tan 55 = h/r h=5tan(55)/pi h=2.27m