Lines and planes: distances and angles

9000128805

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the line \(BV \) and the plane \(ABC\). Round to two decimal places.
\(43.31^{\circ }\)
\(59.04^{\circ }\)
\(45^{\circ }\)

9000128806

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). The point \(M\) is the middle of the side \(CV \). Find the angle between the line \(AM\) and the plane \(ABC\). Round to two decimal places.
\(17.45^{\circ }\)
\(34.50^{\circ }\)
\(18.32^{\circ }\)

9000128807

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the planes \(DCV \) and \(ABC\). Round to two decimal places.
\(53.13^{\circ }\)
\(59.04^{\circ }\)
\(43.31^{\circ }\)

9000128808

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the planes \(ADV \) and \(BCV \). Round to two decimal places.
\(73.74^{\circ }\)
\(36.87^{\circ }\)
\(61.93^{\circ }\)

9000153603

Level: 
B
Give a verbal description to the angle shown in the picture.
The angle between two opposite triangular faces.
The angle between a triangular face and the base.
The angle between two edges in the same triangular face.
The angle between two triangular faces having a common edge.

9000153605

Level: 
B
Give a verbal description to the angle shown in the picture.
The angle between opposite edges.
The angle between a triangular face and an edge from the opposite triangular face.
The angle between two opposite triangular faces.
The angle between two triangular faces having a common edge.

9000153606

Level: 
B
Give a verbal description to the angle shown in the picture.
The angle between the edge on triangular face and the base edge from the same face.
The angle between the triangular face and a base edge not in this face.
The angle between two triangular faces having a common edge.
The angle between a triangular face and square base.