A lifeguard is sitting on a platform, looking down at a swimmer in the water. The lifeguard’s line of sight is 8 feet above the ground and the swimmer is 30 feet away from the base of the lifeguard platform. What is the angle of elevation from the swimmer to the lifeguard?What is the exact distance from the lifeguard to the swimmer?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?