Question

a 32 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach?

Answer 1

Answer:

31 feet

Step-by-step explanation:

Given: The length of ladder, leaned against wall= 32 foot

           The base of ladder is 8 feet away from wall

Adjacent= 8 feet and Hypotenuse= 32 foot

we need to find height of wall till the ladder reach (Opposite).

We will use Pythagorean theorem; $hypotenuse^{2} = adjacent^{2} +opposite^{2}$

⇒$32^{2} = 8^{2} +opposite^{2}$

⇒$1024= 64+opposite^{2}$

subtracting both side by 64

⇒ $Opposite^{2} = 1024-64= 960$

⇒$Opposite= \sqrt{960} = 30.98$ ≅ 31 ft

∴ 31 ft high up the wall.