Question

a ladder 5 m long is placed against a wall in such a way that the foot of the ladder is 4m away from the wall. Find the height at which the ladder reaches?​

Answer 1

Answer:

3 m

Step-by-step explanation:

As you can see,

The ladder is the hypotenuse of a right angled triangle where the ground and wall are perpendicular to each other

∴ According to Pythagoras theorem ,

Hypotenuse² = Side² + Side₁²

5² = 4² + Side₁²

25 m² = 16 m² + Side₁²

25 m² - 16 m² = Side₁²

9 m² = Side₁²

√ 9 = Side₁

3 m = Side₁

∴The ladder reaches at a height of 3 m above ground

Answer 2

(H²) = (P²)) + (B²

so, 5² = (x²) + (4²)

 x² = 25 - 16

 x² = 9²

 x = squre 9 = 3×3

 x = 3

hence, the height of wall is equal to 3m