The length of a ladder is exactly equal to the height of the wall it is learning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
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Let x be the height of the wall
(See attachment for a sketch of the diagram)
Solve x;
a² + b² = c²
(x - 3)² + 9² = x²
x² + 3² - 6x + 9² = x²
90 - 6x = 0
6x = 90
x = 15 m
Answer: The ladder is 15 tall.
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