# The bottom of a ladder must be placed 7 ft from a wall the ladder 19 feet how far above the ground dose ladder touch the wall

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###### Question:

the bottom of a ladder must be placed 7 ft from a wall the ladder 19 feet how far above the ground dose ladder touch the wall

## Answers

Answer:Distance between bottom of the wall and bottom of the ladder = 7 ftLength of the ladder = 19 ftLet the distance between the ground and top of the ladder be xUsing Pythagoras theorem,x^2 + 7^2 = 19^2x^2 + 49 = 361x^2 = 312Therefore x = √312 = 2√78 ft

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