5.37. A deck of cards is shuffled and the top eight cards are turned over. (a) What is the probability that the king of hearts is visible? (b) A second deck is shuffled and its top eight cards are turned over. What is the probability that a visible card from the first deck matches a visible card from the second deck? (Note that this is slightly different from Example 5.39 because the cards in the second deck are not being replaced.)

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations