Given $2$ points A and B with the following data $($all coordinates are in feet$)$ and the sketch below. Determine the elevation at point P located at coordinates $(1075\mathrm{.}96,629\mathrm{.}05).$

A: $(1000\mathrm{.}00,500\mathrm{.}00)$

B: $(1113\mathrm{.}02,334\mathrm{.}74)$

Angle at $A,v_1$:$51{03}^{\text{'}}{24}^{\text{'}\text{'}}$

Elevation at A: ${115\mathrm{.}96}^{\text{'}}$

Height of Instrument at A: $4\mathrm{.}82\text{'}$

Angle at $B,v_2$:$42{00}^{\text{'}}{00}^{\text{'}\text{'}}$

Elevation at B: ${107\mathrm{.}83}^{\text{'}}$

Height of Instrument at A: $6\mathrm{.}35\text{'}$

Draw all sketches please.