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°
