11. A 50-foot ladder is leaning against a vertical wall. If the base of the ladder...

  

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11. A 50-foot ladder is leaning against a vertical wall. If the base of the ladder is 45 feet from the base of the wall, find the angle the bottom of the ladder makes with the ground. 13. A string is connecting the comer of a square canopy to a point on the ground 15 feet from the base of the canopy. If the angle of elevation from the point on the ground to the comer of the canopy is 37, find the length of the string. 12. Joel is ziplining in the mountains. If the vertical distance from his platform to the next platform is 304 yards and the angle of depression is 21 43' 30", find the length of the zipline. 14. At a hot air balloon festival, Erica spots a red balloon due east at an angle of elevation of 36. She turns due west and sees a blue balloon at an angle of elevation of 51. If altitude of the red balloon is 296 meters, the altitude of the blue balloon is 461 meters, and Erica is 1.6 meters tall, find the distance between the balloons. 11. A 50-foot ladder is leaning against a vertical wall. If the base of the ladder is 45 feet from the base of the wall, find the angle the bottom of the ladder makes with the ground. 13. A string is connecting the comer of a square canopy to a point on the ground 15 feet from the base of the canopy. If the angle of elevation from the point on the ground to the comer of the canopy is 37, find the length of the string. 12. Joel is ziplining in the mountains. If the vertical distance from his platform to the next platform is 304 yards and the angle of depression is 21 43' 30", find the length of the zipline. 14. At a hot air balloon festival, Erica spots a red balloon due east at an angle of elevation of 36. She turns due west and sees a blue balloon at an angle of elevation of 51. If altitude of the red balloon is 296 meters, the altitude of the blue balloon is 461 meters, and Erica is 1.6 meters tall, find the distance between the balloons.