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cupoosta [38]
3 years ago
8

If you place a 40 foot ladder against the top of a 24 foot building how many feet will the bottom of the ladder be from the bott

om of the building ?

Mathematics
1 answer:
Helga [31]3 years ago
7 0

Answer:

<u>32 feet</u> will the bottom of the ladder be from the bottom of the building.

Step-by-step explanation:

Given:

Height of ladder = 40 feet.

Height of building = 24 feet.

Now, to find the distance from the bottom of the ladder to the bottom of the building.

<em><u>So, as illustrated in figure below: </u></em>

Now, we use pythagorean theorem to solve it:

AB^2+BC^2=AC^2

24^+BC^2=40^2.

576+BC^2=1600

<em>Subtracting both sides from 576 we get:</em>

BC^2=1024

<em>Using square root on both sides we get:</em>

BC=32\ feet.

Therefore, 32 feet will the bottom of the ladder be from the bottom of the building.

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