Question

A 12 foot ladder is leaning up against the side of a building. The bottom of the ladder is 4 feet away from the bottom of the building Approximately how high up the side of the building does the ladder reach? 8 ft 10 ft 11 ft 12 ft​

Answer 1

You can use the Pythagoras theorem for this since a right triangle is formed.

`c^2 = a^2 + b^2`

C = 12

A = 4

B = x

Input values:

`12^2 = 4^2 + x^2`

`144 = 16 + x^2`

`128 = x^2`

`x = √(128)`

`x = 11.3137...`

So, about 11ft.