Question

a 17 m long ladder is against a wall. the ladder reaches the wall at a height of 8m. find the distance between the foot of the ladder and the wall
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Answer 1

Answer:

15 m

Step-by-step explanation:

length of ladder = 17 m  [ h ]

height of wall it reaches = 8 m [ p ]

so it will form a right - angled triangle .

according to the hypotenuse formula ,

$h^{2} = b^{2} + p^{2}$

$17^{2} = b^{2} + 8^{2}$

289 = $b^{2}$ + 64

289 - 64 = $b^{2}$

225 = $b^{2}$

$\sqrt{225}$ = b

15 = b

therefore,  the distance between the foot of the ladder and the wall is 15 m .

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