Manometer Team Problem $1$

A U$-$tube manometer containing an unknown fluid is located between two points on a pipe. The pipe is inclined at an angle $=30$ and the points are $5ft$ from each other along the pipe. A differential reading of $38-$in will produce a difference in pressure between A and B of $3.$

a$)$ Write out an expression describing the pressure between point A and point $B.$

b$)$ Determine the specific gravity of the fluid in the manometer.

c$)$ If the difference $p_A-p_B$ increased $($with half of its initial reading$)$ would the differential manometer reading increase, decrease or not change?