48 Practice 21. A group of students wants to measure the width of a river. They set up a post P on their side of the river directly across from a tree T. Then they walked downstream 50 feet and measured the angle formed by the line of sight to the post P and the line of sight to tree T. They found the angle is 66°. Determine the width of the river. Round your answer to the nearest foot. 99 P 50 feet Practice 22. The straight line y = 2x forms an angle with the positive x-aris in the first quadrant. Let's call this angle 0. Determine the value of tan 0. Compare tan 0 to the slope of the line y = 2x. Why are they the same? %3D Practice 23. Based on the Pythagorean Identity: sin? 0+ cos? 0 = 1 derive the Pythagorean identity 1+ cot2 0 = csc? 0

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