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

Question

Mathematics

Gunner Mcdaniel

29 January, 06:46

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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Ricardo · Answer 1

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