Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)

4th Edition

ISBN: 9780137399581

Author: Michael Sullivan, Michael Sullivan

Publisher: PEARSON+

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Chapter 6.2, Problem 80AYU

Problems 79 and 80 require the following discussion: When granular materials are allowed to fall freely, they form conical (cone-shaped) piles. The naturally occurring angle of slope, measured from the horizontal, at which the loose material comes to rest is called the angle of repose and varies for different materials. The angle of repose $θ$ is related to the height $h$ and base radius $r$ of the conical pile by the equation $θ = \cot^{- 1} \frac{r}{h}$ . See the illustration.

Chapter 6.2, Problem 80AYU, Problems 79 and 80 require the following discussion: When granular materials are allowed to fall

Angle of Repose: Bunker Sand 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 United States Golf Association (USGA) bunker had a height of 4 feet and a base diameter of approximately $6 .68$ feet.

(a) Find the angle of repose for USGA bunker sand.

(b) What is the height of such a pile if the diameter of the base is 8 feet?

(c) A 6-foot-high pile of loose Tour Grade 50/50 sand has a base diameter of approximately $8 .44$ feet. Which type of sand (USGA or Tour Grade 50/50) would be better suited for steep bunkers?

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Chapter 6.2, Problem 79AYU

Chapter 6.2, Problem 81AYU

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Chapter 6 Solutions

Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)

Ch. 6.1 - What is the domain and the range of y=sinx ? (p....Ch. 6.1 - A suitable restriction on the domain of the...Ch. 6.1 - tan4=;sin3=;sin(6)=;cos=.Ch. 6.1 - 4. True or False The graph of is decreasing on the...Ch. 6.1 - 5. Ch. 6.1 - sin(6)=______; cos= _____;Ch. 6.1 - y=sin1x Means_____, where 1x1 and 2y2.Ch. 6.1 - cos1(cosx)=x, where_____.Ch. 6.1 - 9. , where______; Ch. 6.1 - 10. True or False The domain of is .

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Solution Summary: The author explains the angle of repose for USGA bunker sand.

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