What s the distance that a person would have to walk to get from Holy Cross to where Robbins was arrested?
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- Noel Mathews
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1 Page 1 of 6 Try Now: In 2005, the Pythagorean Theorem was a deciding factor in a case before the New York State Court of Appeals. A man named Robbins was convicted of selling drugs within 1000 of a school. In the appeal, his lawyers argued that Robbins wasn t actually within the required distance when caught and so should not get the stiffer penalty that school proximity calls for. The arrest occurred on the corner of Eighth Avenue and 40th Street in Manhattan. The nearest school, Holy Cross, is on 43rd Street between Eighth and Ninth Avenues. The distance up Eighth Avenue is 764 and the distance to the church along 43rd Street is 490. What s the distance that a person would have to walk to get from Holy Cross to where Robbins was arrested? What s the straight line distance from Holy Cross to where he was arrested? How much farther is it to walk from the arrest site to Holy Cross as opposed to as the crow flies?
2 Page 2 of 6 In the movie, The Wizard of Oz, Dorothy is swept away to a magical land in a tornado and embarks upon a quest to see the Wizard who can help her return home. Accompanying her on this journey are a scarecrow (looking for brains), a tin man (looking for a heart), and a lion (looking for courage). When the wizard bestows an honorary degree of thinkology upon the scarecrow, the scarecrow recites Pythagorean s Theorem: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."
3 Page 3 of 6 1 A right triangle has legs of lengths a = 3 m, b = 10 m. Find the unknown length of the hypotenuse. Round your answer to the nearest tenth. 2 A telephone worker needs to run a guide wire from the top of a 40-foot telephone pole to the ground. He measures the distance from the base of the pole to the point of the ground where the wire would end to be 30. Find the length of wire that the worker will need. m 3 James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what is the minimum length of the straight-edge he needs to make the line? 4 If a pool table measures 4 ft by 8 ft, what is the diagonal length from the back edge of the top left pocket to the bottom right pocket in simplest radical form? inches
4 Page 4 of 6 5 The course for a local triathlon has the shape of a right triangle. The legs of the triangle consist of a 4 mile swim and a 10-mile run. The hypotenuse of the triangle is the biking portion of the event. How far is the biking part of the triathlon? Round your answer to the nearest tenth if necessary. Show your work. 6 A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. Determine the approximate length of the diagonal line that splits the square. Round your answer to the nearest tenth. miles meters 7 The bottom of a ladder is placed 4 from the side of a building. The top of the ladder must be 13 off the ground. What is the shortest ladder that will do the job? 8 You and a friend stand back-to-back. You run 20 forward, then 15 to your right. At the same time, your friend runs 16 forward, then 12 to her right. She stops and hits you with a snowball! How far does your friend throw the snowball?
5 Page 5 of 6 9 If you know that the two sides of a right triangle measure 10 in. and 8 in., why is this not enough information to be sure of finding the length of the third side? 10 Clifford s dog house is shaped like a tent. The slanted sides are both 5 long and the bottom of the house is 6 across. What is the height of his dog house, in, at its tallest point?
6 11 A store advertises the size of television screens using the diagonal measurements of the screens. Part A: A television is advertised as having a 45 inch screen. If the screen is 36 inches wide, what is the area of the screen in square inches? Page 6 of 6 Part B: A wide-screen television is advertised as having a 48 inch screen. The height of the screen is 24 inches. Is the width of the screen actually 48 inches? Explain your answer. square inches
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Four in a Row 7 x 6 5 4 3 2 1-8 -7-6 -5-4 -3-2 -1 0 1 2 3 4 5 6 7 8 y -1-2 -3-4 -5-6 -7 Algebraic Expression Suggested expressions: x + y x - y -x + 2y x - y -(x + y) 2x - 3y y + 1 2 Page 84 Classroom