Avertical tower supporting a cable for gondolas to transportskiers
up a mountain is located on a slope with a pitch of 28deg. the
tower casts a 27-foot shadow up the mountain sidewhen the angle of
the sun is 57 deg. with respect to theslope. calculate the height
of the tower.

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?

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²

Evan walked 5/8 mile to his friends house.then together they walked 7/12 mile to the movie theatre.which pair of fraction can evan use to find how far he walked in all?