A ladder 25 m long reaches a window if a building 20 m above the ground. Determine the distance of the foot of the ladder
Answers
Answered by
5
given,height of the building(p)=20cm
length of ledder(h)=25cm
distance between foot of ledder(B)=?
By Pythagoras theorum
h^2=P^2+B^2
25^2=20^2+B^2
625=400+B^2
B^2=625-400
B^2=225
B=root 225
B=15cm
distance between foot of ledder=15cm
length of ledder(h)=25cm
distance between foot of ledder(B)=?
By Pythagoras theorum
h^2=P^2+B^2
25^2=20^2+B^2
625=400+B^2
B^2=625-400
B^2=225
B=root 225
B=15cm
distance between foot of ledder=15cm
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Answered by
14
Answer:
- Length of BC is 15 m
Step-by-step explanation:
Given
- In ΔABC , ∠C = 90°
- AB = 25 m
- AC = 20 m
To find
- BC
Solution
- AB² = AC² + BC²
(Pythagoras theorem)
- BC² = AB² - AC²
- BC² = 25² - 20²
- BC² = 625 - 400
- BC² = 225
- BC = √225
- BC = 15
∴ BC = 15 m
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