The staircase below has 12 steps. Find the distance from point A to point B (in feet). round your answer to the nearest tenth.
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The distance from point A to point B = 12* steps
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Pythagoras theorem
H^2 = S1^2 + S2^2
H= hypotenuse
S= sides
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H^2 = 10^2+ 8^2
H = √ 10^2+ 8^2
H= 2 √ 41 in
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Form in to ft
12 in = 1 ft
H (ft)= 2 √ 41 in * 1ft/ 12 in = √ 41 /6
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The distance from point A to point B = 12* steps
= 12 * √ 41 /6 = 2 √ 41
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Answer
The distance from point A to point B (in feet) is 2 √ 41 = 12. 8
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