Question

A pole 32 m high broke at a point 7 m above the ground but did not separate. At what distance is the top of the pole from its bottom?

Answer 1

Answer:

24 m

Step-by-step explanation:

The unseparated side from the top can be considered as hypotenuse and the bottom side as perpendicular side. Base will be the distance at which the top of pole will touch the ground.

Hypotenuse = 32-7 m

= 25 m

Perpendicular = 7 m

Base = x (to find)

By Pythagoras theorem :-

H² = P² + B²

25² = 7² + x²

625 = 49 + x²

625 - 49 = x²

576 = x²

√576 = x

24 = x

Hence, the top of the pole will touch the ground from its base.