a ladder 6 meters in length leans against a wall. the base of the ladder is 2 meters away from the base of the wall. how far up the wall does the ladder reach to the nearest tenth?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
A ladder 6 meters in length leans against a wall. The base of the ladder is 2 meters away from the base of the wall.
Determine how far up the wall does the ladder reach.
Solution:
In order to determine how far up the wall does the ladder reach, we simply need to use Pythagorean theorem.
a = 2 meters
c = 6 meters
Pythagorean theorem:
c^2 = a^2 + b^2
b = (c^2 - a^2)^½
b = ((6)^2 - (2)^2)^½
b = (36 - 4)^½
b = (32)^½
b = 5.65 meters
Final answer:
b = 5.65 meters