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24 . Prove the identity (sin x cos x)2 = 1 sin 2x 25. From a point 47 feet from the base of a redwood

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24 . Prove the identity (sin x cos x)2 = 1 sin 2x 25. From a point 47 feet from the base of a redwood tree, the angle of elevation to the top of the tree is 54.3\". Find the height of the tree to the nearest foot. Show work. (sketch is not to scale) 26. For the triangle ABC, we are given thatA = 44, B = 62, and 0 =30.0. C 44 620 A c = 30 3 Find the length of side b, rounded to the nearest tenth. Show work. 27. Let u =(5,10)andv = (12, 6). (3) Calculate the dot product u -v. Show work. (b) Determine the angle between it and v. Round the result to the nearest degree. Show work. 7 2 7 2 28. An ellipse has the equation (x 4) + (3,1: = 1 (a) Is the major axis horizontal or vertical? (1)) Find the exact values of the foci of the ellipse. Show work. Page Ill 01' Text Predictions: On El Focus

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