Thank you for visiting One particular cone of dry sand is 33 feet tall with a base diameter of 97 8 feet To the nearest tenth of a degree. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Answer:
This forms a right triangle with height = 33 and side = 48.9
arc tan (angle) = 33/48.9
arc tan (angle) = 0.6748466258
angle = 34.0 Degrees
Step-by-step explanation:
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Rewritten by : Jeany
Answer:
Angle of repose of the cone of dry stand is 34.0°
Step-by-step explanation:
Angle of repose of a cone shaped mountain is the angle between base of the mountain and height as shown in the figure attached.
From the triangle ABC,
tanB = [tex]\frac{AD}{BD}[/tex]
= [tex]\frac{AD}{\frac{BC}{2}}[/tex]
= [tex]\frac{33}{\frac{97.8}{2} }[/tex]
= [tex]\frac{66}{97.8}[/tex]
tanB = 0.6748
B = [tex]tan^{-1}(0.6748)[/tex]
= 34.01°≈ 34.0°
Therefore, angle of repose of the cone of dry stand is 34.0°
