Chapter 21: Extra Practice 293Solve.
- You stand 100 m from the base of a tall building and look up to the top of the building. You
measure the angle between your line of sight and the horizontal as 72r. Use trigonometry to find
the height of the building to the nearest foot. - The tip of the torch of the Statue of Liberty is 305.5 feet above the ground. If you stand on
the edge of New York harbor and look to the tip of the torch and find that the angle is 3r,
approximately how far from the Statue are you? - Jennifer is installing a bird feeder in her yard and wants to steady the pole it sits on by attaching
wires to the pole and to stakes in the ground. She wants each wire to form the hypotenuse of
a right triangle that is approximately isosceles. If each wire is 10 feet long, how far above the
ground should she connect it to the feeder pole? - For safe use, a ladder should make an angle of about 75r with the ground. If you want to reach a
point 30 feet above the ground and maintain the safe angle, how long should your ladder be? - What is the highest point on a wall that a 25-foot ladder can reach if it is placed at the safe
75 r angle?
Part IV: Probability and Statistics
For questions 111–115, assume that marbles are being drawn at random from a bag containing 5 red,
3 blue, and 2 yellow marbles.
- If a single marble is drawn at random, what is the probability of drawing a blue marble?
- If a single marble is drawn at random, what is the probability of drawing a red or a yellow
marble? - A marble is drawn at random, recorded, and replaced in the bag, and then a second marble is
drawn. What is the probability of drawing a yellow marble and then a blue marble? - A marble is drawn at random, recorded, and replaced in the bag, and then a second marble is
drawn. What is the probability of drawing a blue marble and then a blue marble? - A marble is drawn, recorded, but not replaced in the bag. Another marble is drawn from the
remaining marbles in the bag. What is the probability that both marbles are yellow?