Question 150629
A 12 foot ladder is six feet from the wall. How high on the wall does the ladder touch??
:
use Pythagorean here: a^2 + b^2 = c^2
;
a = height where the ladder touches
b = 6 ft;
c = the 12'ladder
:
a^2 + 6^2 = 12^2
:
a^2 + 36 = 144
:
a^2 = 144 - 36
:
a^2 = 108
a = {{{sqrt(108)}}}
a = 10.4 ft