Alvin measures the angle of elevation to a mountain peak to be 38°24'. Betty, who is 1100 feet closer to the base of the mountain on the same
straight, level path as Alvin, measures the angle of elevation from her
position to the peak to be 44°56'. How high is the mountain peak (relative
the the path Alvin and Betty are on) to the nearest 100th?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.