The Great Pyramid of Giza is a square-based pyramid. The base of the pyramid has side length $230.4 \mathrm{m}$ and the vertical height is $146.5 \mathrm{m}$. The Great Pyramid is represented in the diagram below as $ABCDE$. The vertex $E$ is directly above the centre $O$ of the base. $M$ is the midpoint of $BC$.

Show that the angle between ​​​​​​$\left[EM\right]$ and the base of the pyramid is $52°$ correct to $2$ significant figures.

The Great Pyramid of Giza is a square-based pyramid. The base of the pyramid has side length $230.4 \mathrm{m}$ and the vertical height is $146.5 \mathrm{m}$. The Great Pyramid is represented in the diagram below as $ABCDE$. The vertex $E$ is directly above the centre $O$ of the base. $M$ is the midpoint of $BC$.

Find the total surface area of the pyramid including the base. If the total surface area of the pyramid is $k {\mathrm{m}}^2$, then the value of $k$ is ..... (Round off and write the answer to nearest integer, like if the answer is $293.7,$ then round it to $300$)

The Great Pyramid of Giza is a square-based pyramid. The base of the pyramid has side length $230.4 \mathrm{m}$ and the vertical height is $146.5 \mathrm{m}$. The Great Pyramid is represented in the diagram below as $ABCDE$. The vertex $E$ is directly above the centre $O$ of the base. $M$ is the midpoint of $BC$.

Find the angle between an edge and the base.  (Round off and write the answer in $1$ decimal place)