Question

A 12-foot ladder is placed 4 feet from the wall. Approximately how far up the wall will the ladder reach?

11
16
8

Answer 1

You can use the pythagoreom theorem

Answer 2

11

Answer 3

x^2 + 4^2=12^2

Answer 4

is it 11 @nikato

Answer 5

yes.
x^2 + 16=144
-16 -16
------------
x^2 = 128
x is about 11

Answer 6

but cant it be 8 @nikato

Answer 7

cuz u do 128 divide 16=8

Answer 8

Why would you divide 128 by 16?

Answer 9

idk

Answer 10

but how did u get 11??

Answer 11

So you have the pythagoreom theorem based on that diagram I drew.

x^2 + 4^2 =12^2
x^2 +16 =144. Subtract 16 on both sides
x^2=128. Now square root both sides
x= sqrt 128
x= 11.313....
So x=11. By rounding

Answer 12

Does it make sense now?

Oh I plugged in sqrt 128 in the calculator to get that number in case you're wondering

Answer 13

oh I get it thx :)

Answer 14

No problem

Answer 15

but wait how did u get x= 11.313...

Answer 16

Calculator... Square root of 128

Answer 17

so if you have x^2, in order to get x by itself,