A ladder 25 m long reaches a window of a building 20 m above the ground. Determine the distance of the foot of the ladder from the building?
Answers
Answered by
109
Step-by-step explanation:
☯️Given:
- A ladder 25 m reaches a window of a building.
- Building is 20 m above the ground
☯️To Find:
- Distance of the foot of the ladder from the building.
☯️Solution:
25 m ladder = hypotenuse
20 m building = perpendicular
Distance of the foot of the ladder from the building = base
Let the base be x.
✝️ As the pythagoras theorem states that :
p² + b² = h²
ATQ,
→ 20² + x² = 25²
→ 400 + x² = 625
→ x² = 625 - 400
→ x² = 225
→ x = √225
→ x = 15
∴ Distance of the foot of the ladder from the building is 15 m.
Answered by
13
Step-by-step explanation:
To Find:
- Distance of the foot of ladder from the building.
Solution:
- 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 C
By Pythagoras Theorem,
⇛ AB² = AC² + BC²
⇛ 25² = AC² + 20²
⇛ AC² = 625 - 400
⇛ AC² = 225
⇛ AC =
⇛ AC = 15 cm
Hence, the foot of the ladder is at a distance of 15cm from the building.
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