A 17 m long ladder is placed against a wall with the foot of the ladder 8 m away from the wall. What is the height of the wall up to which the ladder reaches the wall ?
Answers
Answer:
A ladder 17 m long is placed against a wall of a house in such a way that the foot of the ladder is 15m away from the wall. Upto what height will the ladder reach on ...
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Answer:
15 m
Step-by-step explanation:
The ladder touches the wall in such a way that the length of the ladder is the length of the Hypotenuse, the distance between the foot of the ladder and wall is the length of the base, and the height of the wall up to which the ladder reaches is the length of the Perpendicular.
Also, the wall forms a right angle with the wall, so it is a right angled ∆ and we can apply Pythagoras Theorem.
Length of the ladder(Hypotenuse) = 17 m
Distance between the foot of the ladder and wall(Base) = 8 m
Height of the wall up to which the ladder reaches(Perpendicular) = ?
According to the Pythagoras Theorem,
(Hypotenuse)² = (Base)²+ (Perpendicular)²
(17)²=(8)²+(P)²
289 = 64+ (P)²
(P)² = 289-64
(P)² = 225
P = √225
P = 15 m
The length of the perpendicular is 15 m.
Therefore, the height of the wall up to which the ladder reaches is 15 m.