Question

The bottom of a ladder must be placed 4.6 feet away

from a wall for the safety of the person climbing the
ladder. The ladder is 15.2 feet long. How high up does
the ladder reach?

Answer 1

2.44ft

Explanation:

In this problem, we are going to use Pythagoras theorem to solve for the height

given

x= 4.6 ft

hypothenus=15.2

y=?

we know that

hyp^2=x^2+y^2

15.2=4.6^2+y^2

15.2-4.6^2=y^2

15.2-21.16=y^2

5.96=y^2

√5.96=y

y=2.44ft

the height of the ladder is 2.44ft