a ladder 25 m long reaches a window of a building 20 m above the ground. determine the distance of the ladder from the building.
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Answered by
0
Answer:
Let AC be the ladder and A be the position of the window. Thus, the distance of the foot of the ladder from the building is 15m.
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#Siddharth here!
Answered by
4
Step-by-step explanation:
Suppose that AB is the ladder, B is the window and CB is the building. Then, triangle ABC is a right triangle with right-angle at C.
By pythagoras theoram, we have
∴ AB
2
=AC
2
+BC
2
⇒ 25
2
=AC
2
+20
2
⇒ AC
2
=625−400=225
⇒ AC=
225
m=15m
Hence, the foot of the ladder is at a distance 15m from the building
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