Answered by AI, Verified by Human Experts
Final answer:To find the height of the building, set up aproportionand solve for the missing variable. Theheightof the building is 72 feet. From the given information, we can conclude that AB is theperpendicular bisectorof the line segment IK.Explanation:To find theheightof the building, we can usesimilar triangles. Since the rope touches the tree at its halfway point, the height of the tree represents the length of the shorter leg of the smaller triangle. We can set up aproportion:(Height of Building) / (Length of Building) = (Height of Tree) / (Length of Smaller Triangle)Plugging in the given values, we get:Heightof Building / Length of Building = 36 / (Length of Building / 2)Simplifying, we find:HeightofBuilding= 36 * (2/1) = 72 feetTherefore, theheightof the building is 72 feet.For the second question, we can conclude that the given information implies that AB is theperpendicular bisectorof the line segment IK.Learn more about Finding the height of a building using similar triangles here:brainly.com/question/32011371#SPJ11...