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Cerrena [4.2K]
3 years ago
9

If you place a 17 foot ladder against the top of a 8 foot building how many feet will be bottom of the ladder be from the bottom

of the building

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

The distance of the bottom of the ladder be from the bottom of the building is = 15 feet

Step-by-step explanation:

Given:

Length of the ladder =17 ft

Height of the building = 8 ft

To find the length between the bottom of the ladder and the bottom of the building.

Solution:

On drawing out the situation, we find out that a right triangle is formed with the ladder being the hypotenuse and the building being a leg of the right triangle.

<em>We need to find the length of the other leg of the triangle which is the distance from the bottom of the ladder to the bottom of the building.</em>

Applying Pythagorean theorem:

Hypotenuse^2=Leg1^2+Leg2^2

Plugging in values in feet from the given data.

17^2=Leg1^2+8^2

Simplifying.

289=Leg1^2+64

Subtracting both sides by 64.

289-64=Leg1^2+64-64

225=Leg1^2

Taking square root both sides.

\sqrt{225}=\sqrt{Leg1^2}

15=Leg1

∴ Leg1=15\ ft

Thus, distance of the bottom of the ladder be from the bottom of the building is = 15 feet

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