Question

find the height of ladder,if it is 40m away from the foot of the ground and its top reaches a window which is 9m above the ground​

Answer 1

Given:

✰ Distance of the foot of the ladder from the ground = 40 m

✰ Height of the window above the ground = 9 m

To find:

✠ The height of ladder.

Solution:

Naming,

Let the Distance of the foot of the ladder from the ground be BC,

height of the window above the ground be AB, and

the height of ladder above the ground be AC.

Here, in this question we need to find AC. We will find the value of AC by using Pythagoras theorem.

By using Pythagoras theorem,

➛ H² = P² + B²

Where,

• H - the hypothesis of a triangle
• P - the perpendicular of a triangle
• B - base of a triangle

➛ AC² = AB² + BC²

➛ AC² = 9² + 40²

➛ AC² = 81 + 1600

➛ AC² = 1681

➛ AC = √1681

➛ AC = 41

∴ The height of ladder = 41 m

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Answer 2

Given :-

• Perpendicular (P) = 9m
• Base (B) = 40m

To Find :-

• Height of Ladder ( Hypothenuse [H])

Solution :-

Using Pythagoras Theorem :

⟾ (H)² = (P)² + (B)²

⟾ (Hypothenuse)² = (9)² + (40)²

⟾ (Hypothenuse)² = 81 + 1600

⟾ (Hypothenuse)² = 1681

⟾ Hypothenuse = √1681

⟾ Hypothenuse = 41m

Therefore Height of the Ladder is 41m

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