exam Maths Puzzle Numerical Ability

The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder rests against the top. Assuming the wall is perpendicular to the ground, what is the height of the wall?

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exam Other Question

how can you represent the cosine of an angle in terms of a ratio?

thnx The path of the diver is given by y= 4/9 x^2+24/9 x+12
where y is the height in feet and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

Thank you for any help here.