cynthiabell38 cynthiabell38

15-09-2018
Mathematics

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a 10 ft ladder leans against a wall with its foot braced 3ft. from wall's base how far up the wall does the ladder resach

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lindsayalbert3pc6dyq lindsayalbert3pc6dyq

15-09-2018

Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft

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