A shadow makes an angle to the top of the pole at 83°. If the shadow is 20 foot long, how tall is the pole?

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

Which of the following contains a variable?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.