$1.$ A $(320,-100),$ B $(100,300),$ calculate the length and azimuth angle of AB$?(6$ points$)$

$2.$ Calculate the area of the shape below using Simpson$$s $1/3$ Rule beginning at h$1.$ The area between h$7$ and h$8$ is added in separately.

d $=50$ ft$.(6$ points$)$

h$1$ h$2$ h$3$ h$4$ h$5$ h$6$ h$7$ h$8$

d

h$1=38$ ft

h$2=49$

h$3=56$

h$4=48$

h$5=37$

h$6=52$

h$7=47$

h$8=59$

$3.$ Calculate the area of the following traverse using coordinates: $(8$ points$)$

Station X$,$ ft$.$ Y$,$ ft$.$

A $500\mathrm{.}00500\mathrm{.}00$

B $606\mathrm{.}48476\mathrm{.}23$

C $971\mathrm{.}66682\mathrm{.}53$

D $835\mathrm{.}10812\mathrm{.}83$

E $378\mathrm{.}80767\mathrm{.}44$