$(2$ PT$)$ Subtract $37\mathrm{.}690556$ from $101{58}^{\text{'}}{02}^{\text{'}\text{'}}.$ Give your answer in degrees minutes and seconds.

$(2$ PT$)$ A vertical angle is measured as $-21{32}^{\text{'}}{14}^{\text{'}\text{'}}.$ What is the equivalent zenith angle.

A Traverse course AB has a bearing of $S88{41}^{\text{'}}{38}^{\text{'}\text{'}}W$ and a horizontal distance of $142\mathrm{.}3$ ft $.$

a$.(2$ PT$)$ What is the bearing of $BA?$

b$.(2$ PT$)$ What is the azimuth of $AB?$

c$.(2$ PT$)$ What is the latitude and departure between A and $B?$

Two survey points, A and B $,$ are on the slope of a hill. The slope distance between the two points is

$257\mathrm{.}4$ ft $.$ If the zenith angle from A to B is $88{14}^{\text{'}}{35}^{\text{'}\text{'}},$ calculate:

a$.(4$ PT$)$ The elevation difference between A and B$.$

b$.(4$ PT$)$ The horizontal distance between A and B$.$