A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use ladder to reach a window sill that is 22 ft above the ground. How far from the house should the base of the ladder be?

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A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use ladder to reach a window sill that is 22 ft above the ground. How far from the house should the base of the ladder be?

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Answer 1 · 2016-12-30T14:43:59

$5 . feet 6 . inches$ $5color(white)(.)"feet "6color(white)(.)"inches"$

Explanation:

This is a case of Similar Triangles so we could use ratio

$\frac{up}{along} \to \frac{4}{1} = \frac{22}{along}$ $("up")/("along") -> 4/1 = 22/("along")$

To change 4 into 22 multiply by $\frac{22}{4}$ $22/4$ . However what we do to the top we do to the bottom. For multiply and divide that is.

So we have: $\frac{4 \times \frac{22}{4}}{1 \times \frac{22}{4}} = \frac{. 22 .}{\frac{22}{4}}$ $" "(4xx22/4)/(1xx22/4) = (color(white)(.)22color(white)(.))/(22/4)$

$\frac{up}{along} = \frac{. 22 .}{\frac{22}{4}}$ $("up")/("along") =(color(white)(.)22color(white)(.))/(22/4)$

$along = \frac{22}{4} = 5 \frac{1}{2} f e e t$ $"along "=22/4 = 5 1/2 feet$

$5 . feet 6 . inches$ $5color(white)(.)"feet "6color(white)(.)"inches"$

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A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use ladder to reach a window sill that is 22 ft above the ground. How far from the house should the base of the ladder be?

1 Answer

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