If a horizontal curve connecting two perpendicular roads was designed with a $1000\text{'}$ radius. What is the degree of curvature?

a$.5\mathrm{.}73$

b$.6\mathrm{.}00$

c$.6\mathrm{.}81$

d$.7\mathrm{.}23$

e$.9\mathrm{.}87$

What is the tangent distance for the $1000\text{'}$ curve described in the previous problem?

a$.550\text{'}$

b$.{687}^{\text{'}}$

c$.800,$

d$.1000,$

e$.{1100}^{\text{'}}$