Question

How high up on a wall will a 20-foot ladder touch if the foot of the ladder is placed
4 feet from the base of the wall?

Answer 1

Step-by-step explanation:

by using the pythagoras theorem,

the height of the ladder touching the wall =

√(20²- 4²)

=√ (400-16)

=√384

= 8√6 feet

or 19.6 feet

Answer 2

Using Pythagorean theorem

$\\ \rm\longmapsto P^2=H^2-B^2$

$\\ \rm\longmapsto P^2=20^2-4^2$

$\\ \rm\longmapsto P^2=400-16$

$\\ \rm\longmapsto P^2=384$

$\\ \rm\longmapsto P=\sqrt{84}$

$\\ \rm\longmapsto P=19.6ft$