CASE STUDY: There is some fire incident in the house. The fireman is trying to enter the house<br />
from the window as the main door is locked. The window is 6 m above the ground. He places a ladder against the wall such that its foot is at a distance of 2.5 m from the wall and its top reaches the window:<br />
By using the above-given information, find the following:<br />
i) Here, ________ be the ladder and _______ be the wall with the window :<br />
a) CA, AB b) AB, AC c) AC, BC<br />
ii) We will apply Pythagoras Theorem to find the length of the ladder. It is:<br />
d) AB, BC<br />
a) 4.5 m b) 2.5 m<br />
iv) What would be the length of the ladder if it is placed 6 m away from the wall and the window<br />
is 8 m above the ground?<br />
a) 12 m b) 10 m c) 14 m d) 8 m<br />
v) How far should the ladder be placed if the fireman gets a 9 m long ladder?<br />
a) 6.7 m (approx) b) 7.7 m (approx) c) 5.7 m (approx) d) 4.7 m (approx)<br />
a) AB2=BC2–CA2<br />
c) BC2=AB2+CA2<br />
iii) The length of the ladder is
Answers
Answer:
b
d
3 rd one 6.5
b
a
Step-by-step explanation:
Concept
According to pythagoras theorem, in a right angled triangle,
Hypotenuse^2 = base^2 + height^2
Given
window is 6 m above the ground.
a ladder is placed against the wall such that its foot is at a distance of 2.5 m from the wall
Find
we need to find the
1. length of the ladder
2. length of the ladder if it is placed 6 m away from the wall and the window is 8 m above the ground.
Solution
We have
height = 6m
base = 2.5m
applying pythagoras theorem
6^2 + 2.5^2 = hypotenuse^2
hypotenuse = sqrt(36 + 6.25)
= 6.5
Thus, the length of the given ladder is 6.5m.
Now, we are given
height = 8m
base = 6m
Hypotenuse = sqrt( 8^2 + 6^2)
= sqrt(64 + 36)
= sqrt(100)
=10
Thus, if the ladder is placed 6 m away from the wall and the window is 8 m above the ground, the length of the ladder will be 10m.
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