exam Maths Puzzle Numerical Ability

The edge of a 4-meter long ladder is 3.5 meters from the base of a building. Will the top of the ladder reach a window that is 3.8 meters from the ground? Can you also explain it?

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exam Other Question

10-x+3x=2x-7+5x
solving for the unknown
not sure of the steps to solve this one because the varible is on both sides
I was given this question and asked to write it down from the board Find the value of k so that 2x^2-kx+5=0 has one real rational root.