Question

A 10 m long ladder reaches a window 8 m above the ground. Find the distance of the ladder from the base of the wall.

• A. 7 m
• B. 6 m
• C. 10 m
• D. 5 m

Hint:

Always identify right triangle → apply $a^2 + b^2 = c^2$

Answer 1

The Correct Option is B

Concept: This forms a right-angled triangle:
• Ladder = hypotenuse
• Height = perpendicular
• Distance from wall = base

Step 1: Apply Pythagoras theorem.
\[ \text{Base}^2 + \text{Height}^2 = \text{Hypotenuse}^2 \] \[ x^2 + 8^2 = 10^2 \]

Step 2: Solve.
\[ x^2 + 64 = 100 \] \[ x^2 = 36 \] \[ x = 6 \]

Step 3: Final conclusion.
Thus, the distance from the wall is: \[ 6 m \]