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Sagot :

[tex]h\text{ = 11.40 meters}[/tex]

Here, we want to get the length of the ladder

The kind of triangle we have is a right triangle for which obeys the Pythagoras' theorem

According to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

The length of the ladder marked as h is the hypotenuse

Thus, we have it that;

[tex]\begin{gathered} h^2=9^2+7^2 \\ h^2\text{ = 81 + 49} \\ h^2\text{ = 130} \\ h\text{ = }\sqrt[]{130} \\ h\text{ = 11.40 meters} \end{gathered}[/tex]