W, is a window against which a ladder 8.5 m long rests. The height of the window is 7.5 m from the ground. Without moving the bottom of the ladder, it is turned around to rest against a window W, on the opposite wall. If the height of window W, is 4 m above the ground, find the distance between the walls.
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Verified answer
Answer:
let h=8.5
p=7.5
b= w1
then
b {}^{2} = h {}^{2} - p {}^{2}b
2
=h
2
−p
2
= (8.5)^2 - ( 7.5 )^2
= 272. 25 - 56 125
= 16
then b^2 = 16
b =
\sqrt{16}
16
= 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}
56.25
b= 7.5
so , w2 = 7.5 m