The foot of an extension ladder is 10 ft from a wall. the ladder is 2 ft longer than the height that it reaches on the wall. how far up the wall does the ladder reach

Question

Mathematics

Tobias Johns

21 September, 06:36

The foot of an extension ladder is 10 ft from a wall. the ladder is 2 ft longer than the height that it reaches on the wall. how far up the wall does the ladder reach

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Answers (2)

Know the Answer?

Macie Peck · Answer 1

This makes a right triangle with hypotenuse x+2 and legs 10 and x

10²+x² = (x+2) ²

100 + x² = x²+4x+4

100=4x+4

4x=96

x=24, the height we are looking for

Aspen Cook · Answer 2

base: 10

height: x

diagonal: x + 2

base² + side² = diagonal²

(10) ² + (x) ² = (x + 2) ²

100 + x² = x² + 4x + 4

100 = 4x + 4

96 = 4x

24 = x

Answer: 24 ft