QUESTION $1$: Triangles

Solve the following triangle.

MABP is a straight line and the following observations were made.

Angle DAM $70{19}^{\text{'}}{00}^{\text{'}\text{'}}$

Angle CBP $,56{17}^{\text{'}}{00}^{\text{'}\text{'}}$

Angle ADC $43{45}^{\text{'}}{00}^{\text{'}\text{'}}$

Angle DCB $82{51}^{\text{'}}{00}^{\text{'}\text{'}}$

Horizontal Distance AB $728\mathrm{.}000m$

Horizontal Distance DC $2246\mathrm{.}400m$

Calculate:

The area of ABCD and the distances $BC$ and $AD.$

NB: Remember to apply mathematical theorems where necessary.

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