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Pre-Calculus Homework Solutions 208

Pre-Calculus Homework Solutions 208 - 49 Let x represent...

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49. Let x represent the vertical change of the plane after climbing at a constant angle of 3° for 60 ground miles. tan3° 6 x 0 60tan3° x KEYSTROKES: 60 3 x 3.1 The plane is about 3.1 1 or 4.1 miles above sea level. 50. Let x represent the maximum height. sin75° ¬ 2 x 0 20sin75° ¬ x KEYSTROKES: 20 75 x 19.32 The ladder can reach a maximum height of about 19.32 feet. 51. Let x represent the distance from the base of the ladder to the building. cos75° 2 x 0 20cos75° x KEYSTROKES: 20 75 x 5.18 The base of the ladder is about 5.18 feet from the building. 52. Explore: You know the coordinates of the vertices of a right triangle and that C is the right angle. You need to find the measure of one of the angles. Plan: Use the Distance Formula to find the measure of each side. Then use one of the trigonometric ratios to write an equation. Use the inverse to find m J . Solve: JC (2 2) 2 ( 2 2) 2 0 16 or 4 CL (7 2) 2 [ 2 ( 2)] 2 25 0 or 5 JL (7 2) 2 ( 2 2) 2 25 16 41 tan J C JC L tan J 5 4 J tan 1 5 4 KEYSTROKES: [TAN 1 ] 5 4 m J 51.34019175 The measure of J is about 51.3.
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