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When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation 0= cot -1 r h The steepness of sand bunkers on a golf course is affected by the angle of repose of the sand (a larger angle of repose allows for steeper bunkers). A freestanding pile of loose sand from a bunker had a height of 18 feet and a base diameter of approximately 45 feet. Complete parts (a) through (c). (a) Find the angle of repose for the bunker sand. 0= 38.66° (Round to two decimal places as needed.) (b) What is the height of such a pile if the diameter of the base is 110 feet? height=feet (Round to two decimal places as needed.) h

When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation 0= cot -1 r h The steepness of sand bunkers on a golf course is affected by the angle of repose of the sand (a larger angle of repose allows for steeper bunkers). A freestanding pile of loose sand from a bunker had a height of 18 feet and a base diameter of approximately 45 feet. Complete parts (a) through (c). (a) Find the angle of repose for the bunker sand. 0= 38.66° (Round to two decimal places as needed.) (b) What is the height of such a pile if the diameter of the base is 110 feet? height=feet (Round to two decimal places as needed.) h

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 15CR: The slant height of a right circular cone is 12 cm. The angle formed by the slant height and...
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When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation 0= cot -1 r h The steepness of sand bunkers on a golf course is affected by the angle of repose of the sand (a larger angle of repose allows for steeper bunkers). A freestanding pile of loose sand from a bunker had a height of 18 feet and a base diameter of approximately 45 feet. Complete parts (a) through (c). (a) Find the angle of repose for the bunker sand. 0= 38.66° (Round to two decimal places as needed.) (b) What is the height of such a pile if the diameter of the base is 110 feet? height=feet (Round to two decimal places as needed.) h
Transcribed Image Text:When granular materials fall, they form conical piles. The angle of slope, measured from the horizontal, at which the material comes to rest is called the angle of repose. The angle of repose is related to the height h and base radius r of the conical pile by the equation 0= cot -1 r h The steepness of sand bunkers on a golf course is affected by the angle of repose of the sand (a larger angle of repose allows for steeper bunkers). A freestanding pile of loose sand from a bunker had a height of 18 feet and a base diameter of approximately 45 feet. Complete parts (a) through (c). (a) Find the angle of repose for the bunker sand. 0= 38.66° (Round to two decimal places as needed.) (b) What is the height of such a pile if the diameter of the base is 110 feet? height=feet (Round to two decimal places as needed.) h
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