Because of prevailing winds, a tree grew so that it was leaning 4 degrees from vertical. at a point 40 meters from the tree the angle of elevation to the top of the tree is 30 degree. find the height h of the tree.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2