Metric Properties

9000128803

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 distance between the point \(M\) and the line \(AD\).
\(\frac{\sqrt{97}} {2} \, \mathrm{cm}\)
\(\frac{\sqrt{106}} {2} \, \mathrm{cm}\)
\(\frac{\sqrt{65}} {2} \, \mathrm{cm}\)

9000128804

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 distance between the line \(AD\) and the plane \(BCV \).
\(\frac{24} {5} \, \mathrm{cm}\)
\(\frac{15\sqrt{34}} {5} \, \mathrm{cm}\)
\(6\, \mathrm{cm}\)

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.
\(17.45^{\circ }\)
\(34.50^{\circ }\)
\(18.32^{\circ }\)

9000128801

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 distance between the point \(M\) and the plane \(ABC\).
\(2\, \mathrm{cm}\)
\(\frac{\sqrt{34}} {2} \, \mathrm{cm}\)
\(\frac{5} {2}\, \mathrm{cm}\)

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.
\(73.74^{\circ }\)
\(36.87^{\circ }\)
\(61.93^{\circ }\)