Solve the following problem and illustrate$/$show your solutions by making drawing$/$sketch either digitally or hand$-$drawn. $($No credit will be given if you don't show your solutions$).$

You are climbing a $30$ deg slope going to a drillpad at the peak of the hill. At elevations $1548$mASL and $1555$mASL, you encountered the bottom and top respectively of a gently dipping mafic sill. You climbed further to the top at a distance of $43\mathrm{.}4$m and at elevation $1576\mathrm{.}7$mASL you reached the peak which is your drillsite. Then as you descend to the opposite side

of the hill, the slope inclination is now at $45$deg. and descending at a distance of $27\mathrm{.}9$m you again encountered the top and bottom of the same mafic sill at elevations $1557$mASL and $1550$mASL respectively.

$1.$ Calculate the true dip of the gently dipping mafic sill assuming your traverse is directly perpendicular to the strike of the sill $($round to two decimal places$).$

$2.$ Calculate the true thickness of the mafic sill $($round to two decimal places$).$

$3.$ At what vertical depth would the drillhole encounter the top of the mafic sill $($round to two decimal places$)?$

$4.$ At what elevation $($mASL$)$ would the bottom of the mafic sill be encountered by the drillhole $($round to two decimal places$)?$