5. A castle is surrounded by a 10 ft-wide moat filled with killer crocodiles. I want to find the length of the castle but can't get across
the moat. So I measure the distances to two points on either side of
the castle and also the angle between these two lines as shown in the
diagram to the right. What is the length of the castle in feet? (6 points)

What is the equation of the graph below? y=sec(x)-4

Extra points! find the missing dimension! need asap

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?