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Quiz on Triangle Trigonometry Word Problems Units are very important. Please ensure that you write down the units. Please be neat and show your work. Please draw a neat well-labeled figure for each problem. Solve any four (6) 1. A 50 ft ladder positioned against a wall forms an angle of 60 with the ground. a. How high up the wall does the ladder reach? b. How far is the base of the ladder from the wall? c. Draw a well labeled figure and please show your work. (4) 2. A plane takes off at an angle of 4.5 . After traveling 3 km along this flight path, how high (in meters) is the plane above the ground? (1 km = 1000 m). Please draw a figure and show your work. (5) 3. A swimming pool is 3 ft deep in the shallow end. The bottom of the pool has a steady downward drop of 15 towards the deep end. If the pool is 50 ft long, how deep is the deep end of the pool? Please draw a figure, show your work and write the units. (5) 4. Ruth is flying a kite. Her hand is 4 feet above ground level and is holding the end of a 500 ft kite string, which makes an angle of 50 with the horizontal. How high is the kite above the ground? Please draw a figure and show your work. (4) 5. A wire from the top of a TV tower makes an angle of 62 with the ground and touches the ground 480 feet from the base of the tower. How high is the tower? Please draw a figure and show your work.