Lucia needs to buy a ladder to reach her roof. The edge of the roof is 21.125 feet high. To use a ladder safely, the base of a ladder should be 1 foot away from a building for every 3.25 feet of building height. The ladder should extend 3 feet longer than the edge of the roof. How long does the ladder need to be? Round your answer to the nearest tent

The length of the ladder is 25.1ft

Step-by-step explanation:

We are given

Height of the building  = 21.125ft = a (let)

On forming a triangle we have the height of the building as 'a'

It says that the base of a ladder should be 1 foot away from a building for every 3.25 feet of building height.

so for 21.125ft of height of building  = 21.125/3.5 = 6.5ft

we need the base of the ladder to be at 6.5ft  away from the building on the ground.

Let 6.5ft = b

Now we have the height of the building 'a' and the base distance of the ladder from the building 'b'

Applying Pythagoreans theorem

 where c represents the ladder length

on substituting the values of a and b

we get c= 22.1ft

but the ladder is 3ft longer than the edge of the roof

so final length of the ladder = 22.1 +3 = 25.1ft

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step-by-step explanation:

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