44. Railways The steepest railway in the world is the Katoomba Scenic Railway in Australia. The...

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44. Railways The steepest railway in the world is the Katoomba Scenic Railway in Australia. The passenger car is pulled up the mountain by twin steel cables. It travels along the track 1020 feet to obtain a change in altitude of 647 feet. a. Find the angle of elevation of the railway. b. How far does the car travel in a horizontal direction? 45. Critical Thinking Explain why each expression is impossible. a. sin ¹2.4567 b. sec¹0.5239 46. Basketball The rim of a basketball hoop is 10 feet above the ground. The free-throw line is 15 feet from the basket rim. If the eyes of a basketball player are 6 feet above the ground, what is the angle of elevation of the player's line of sight when shooting a free throw to the rim of the basket? 6 ft c. cos¹ (-3.4728) 1540 10 ft 1 44. Railways The steepest railway in the world is the Katoomba Scenic Railway in Australia. The passenger car is pulled up the mountain by twin steel cables. It travels along the track 1020 feet to obtain a change in altitude of 647 feet. a. Find the angle of elevation of the railway. b. How far does the car travel in a horizontal direction? 45. Critical Thinking Explain why each expression is impossible. a. sin ¹2.4567 b. sec¹0.5239 46. Basketball The rim of a basketball hoop is 10 feet above the ground. The free-throw line is 15 feet from the basket rim. If the eyes of a basketball player are 6 feet above the ground, what is the angle of elevation of the player's line of sight when shooting a free throw to the rim of the basket? 6 ft c. cos¹ (-3.4728) 1540 10 ft 1

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