Question

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the ladder rest

Answer 1

Answer:

6 ft.

Step-by-step explanation:

$a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6$