SOLUTION: the legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach?

Question 411403: the legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach?
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You have an isosceles triangle with base = 1 meter,
each side is 2.4 meters.
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Draw the height as a perpendicular bisector of the base.
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Use Pythagoras to find the height.
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slant height ^2 = height^2 + base^2
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2.4^2 = h^2 + (1/2)^2
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h^2 = 5.76 - 0.25
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h^2 = 5.51
height = 2.35 meters
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Cheers,
Stan H.
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