Question

A 20-foot ladder is placed against a building. If the top of the ladder will lean against the building 15-feet high, how far away from the base of the building is the bottom of the ladder located? Include a sketch that shows all known information and clearly shows what you need to find. Show all work and give the exact answer.

Answer 1

Answer:

13.22

Step-by-step explanation:

use the Pythagorean theorem to solve

Using the formula

c=a^2+b^2

Solving for b

b=c^2﹣a^2=202﹣152≈13.22

Answer 2

The distance from the base of the building where the bottom of the ladder is located is 13.22ft

From the question, we are given the following parameters

Length of the ladder (l )= 20 feet

Height of the building (H)=15 feet

To know how far away from the base of the building is the bottom of the ladder located, we will use the Pythagoras theorem. Find the diagram attached

$l^2=b^2+H^2\\20^2=b^2+15^2\\b^2=20^2-15^2\\b^2=400-225\\b^2=175\\b=\sqrt{175}\\b=13.22feet$

hence the distance from the base of the building where the bottom of the ladder is located is 13.22ft

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