Metric properties

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 $BCV$.

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.

In the cube $ABCDEFGH$ find the angle between the lines $B{S}_{DH}$ and $AE$, where the point $S_{DH}$ is the center of the edge $DH$.

In the cube $ABCDEFGH$ find the angle between the lines $A{S}_{BC}$ and $AD$, where $S_{BC}$ is the center of the edge $BC$.