A15-foot ladder is leaning against a wall. the foot of the ladder is 6 feet away from the wall. how far up the wall does the ladder touch?

Using Pythagoras Rule the ladder touches 13.75ft ~ 14ft up the wall.

Step-by-step explanation: Using the Pythagoras Rule the Hypothenus is the leaning hieght of the ladder 15ft

And the base is 6ft. Now let's find the height of the wall h¹

h¹ = √{15² - 6²}

h¹ =√{225 - 36}

h¹ = √189

= 13.74ft

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