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Answer:
Step-by-step explanation:
Here is your answer mate:
11) (i) PS i m not having a figure. consider the 90° angle as B. foot of ladder as A and the window be C
Given: angle B = 90 degrees
AB = 6m and BC = 8m
To find : Length of the ladder that is AC
In triangle ABC, by pythagoras theorem,
(AC)^2 = (AB)^2 + (BC)^2
(AC)^2 = (6)^2 + (8)^2
(AC)^2 = 36 + 64 = 100m
AC = 10m
thus, the length of the ladder is 10m
(ii) we know that the length of ladder is 10m and angle B is 90
According to the condition,
AB = 8m
to find : length BC (considering C as the end point of ladder and not the window)
in triangle ABC, by pythagoras theorem,
(AC)^2 = (AB)^2 + (BC)^2
(BC)^2 = (AC)^2 - (AB)^2
(BC)^2 = (10)^2 - (8)^2
(BC)^2 = 100 - 64 = 36
thus, BC = 6m
thus, the top of the ladder will reach upto 6m above the ground
12) Corresponding congruent parts
angle ABC = angle FED
angle BAC = angle EFD
angle BCA = angle EDF
AB = FE
BC = ED
AC = FD
hope this helps you buddy
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