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

Trigonometry (MindTap Course List)
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Author:Charles P. McKeague, Mark D. Turner
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Chapter7: Triangles
Section7.1: The Law Of Sines
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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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