Question

Please help me with this Pythagoras theorem question

Answer 1

Pythagoras theorem is the square of two sides gives the square of third side.

Given,

Height of flagpole= 25 ft

base= 5 ft

Let the broken part be x

The remaining part becomes 25-x

Apply Pythagoras theorem

`5^(2)` +
`x^(2)` =
`(25-x)^(2)`

25 +
`x^(2)` =
`25^(2)` +
`x^(2)` - 2*25*x

25 +
`x^(2)` = 625 +
`x^(2)` - 50x

(
`x^(2)` cancels out on both side)

50x = 625- 25

50x = 600

x = 600/50

x = 12