A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall. Approximately h

Question

Step2247 [10]

2 years ago

14

A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall. Approximately h

ow high up the wall does the top of the ladder reach? A. 2.4 feet B. 7.0 feet C. 13.0 feet D. 10.9 feet

Mathematics

2 answers:

Ivahew [28] · Answer 1 · 2022-06-09T21:00:26+03:00

Ivahew [28]2 years ago

7 0

The ladder is the hypotenuse.
One of the legs is 5 feet.
We need to find the height.

a^2 + 5^2 = 12^2
a^2 + 25 = 144
a^2 = 144 - 25
a^2 = 119
a = √119

a ≈ 10.9 feet

The ladder reaches up 10.9 feet.

KonstantinChe [14] · Answer 2 · 2022-06-09T19:07:00+03:00

KonstantinChe [14]2 years ago

6 0

D) 10.9

pythagorean theorem
144=25+x^2
10.9=x