Answer to Question #127271 in Geometry for Mensah Kwaku Kudze

Question #127271
The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure below. If the coin lies 3.72mm below the top of the cone, determine the value of angle θ.
1
Expert's answer
2020-07-23T17:36:48-0400

diameter = 30mm , so radius = 15mm

for find the value of "\\theta" .

we use identity tan"\\theta" = P/B

P = perpendicular , B = base

P = 3.72mm , B = 15mm

tan"\\theta" = 3.72/15

tan"\\theta" = 0.248

"\\theta" = tan-1(0.248)

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Comments

Assignment Expert
24.07.20, 19:56

The figure for this question is unknown. If another angle theta was expected in the solution, then the angle at the vertex can be 2*(90 degrees - arctan(0.248)).

Mark
24.07.20, 19:27

I have a problem with the placement of the angle teta at the edge instead of the vertex.

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