Solve for each missing angle and side.

Aladder that is 30 ft long needs to reach 27 ft up a building. what should the angle of the vertical be?

Suppose a least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293. what is the mean value of the response variable if xequals20?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial