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MAT1222 - AlgebraModule 01 Written AssignmentInstructions: Complete the two problems given below. You need to show ALL of your work and steps.You will also need to explain in English how you solved it and why you did each step. The final item ineach problem is a conclusion where you will explain what the answer means for that problem.1) Painters often use ladders to help paint buildings. Marcus is painting a building and places his20-foot ladder against the wall. If the bottom of the ladder is currently 6 feet away from thewall, how high does the ladder reach on the wall? Use the Pythagorean Theorem to helpdetermine the height.Ladder20 feetWall6 feeta) Solve the problem in the area below. Include all of your steps (you may insert a pictureof your work below).Let P and Q be the points where the ladder touches the wall and the groundrespectively.Let O be the bottom of the wall.It is given in the question that(i)Height of the ladder is 20 feet. Therefore, PQ = 20 feet(ii)Bottom of the ladder is 6 feet from the wall. Therefore, OQ = 6 feetLet the height of the wall up to which the ladder can reach be x feet.From the above figure, it is clear that th ...


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