Question

A ladder 10 m long reaches a window 8 m above the ground .Find the distance of the foot of the ladder from the base of the wall. Single choice.
(1 Point)

12 12 m

4 4 m

6 6 m

16 16 m​

Answer 1

6 m

Step-by-step explanation:

Since the ladder forms a right-angled triangle,

We can apply Pythagoras Theorem,

i.e.

Hypotenuse ² = base² + height ²

10² = base² + 8²

100 = base² + 64

base² = 100 - 64

base² = 36

base = √36

base = 6

Therefore, the distance between the foot of the ladder from the base of the wall is 6 m