W1 is a window against which a ladder 8.5m long rests.The height of the window is 7.5m from the ground without moving the bottom of the ladder, it is turned around to rest against a window w2 on the opposite wall.If the height of window w2 is 4m above the ground ,find the distance between the walls.
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Answered by
32
let h=8.5
p=7.5
b= w1
then
![b {}^{2} = h {}^{2} - p {}^{2} b {}^{2} = h {}^{2} - p {}^{2}](https://tex.z-dn.net/?f=b+%7B%7D%5E%7B2%7D++%3D+h+%7B%7D%5E%7B2%7D++-+p+%7B%7D%5E%7B2%7D+)
= (8.5)^2 - ( 7.5 )^2
= 272. 25 - 56 125
= 16
then b^2 = 16
b =
![\sqrt{16} \sqrt{16}](https://tex.z-dn.net/?f=+%5Csqrt%7B16%7D+)
= 4
so , w1 = 4 m
2nd
w2 = b
h = 8.5m
p = 4 m
then b^2 = h ^2 - p^2
= (8.5)^2 - 4^2
= 72.25 - 16
= 56.25
b =
![\sqrt{56.25} \sqrt{56.25}](https://tex.z-dn.net/?f=+%5Csqrt%7B56.25%7D+)
b= 7.5
so , w2 = 7.5 m
p=7.5
b= w1
then
= (8.5)^2 - ( 7.5 )^2
= 272. 25 - 56 125
= 16
then b^2 = 16
b =
= 4
so , w1 = 4 m
2nd
w2 = b
h = 8.5m
p = 4 m
then b^2 = h ^2 - p^2
= (8.5)^2 - 4^2
= 72.25 - 16
= 56.25
b =
b= 7.5
so , w2 = 7.5 m
Answered by
1
Answer:
the answer is 11.5
the adittion of sum gives the answer
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