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aksik [14]
3 years ago
14

a farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th

e barn does the ladder reach?

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

11.6 ft

Step-by-step explanation:

I attached a diagram for you to easily visualize this problem.

To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.

Substitute 3, 12, and x into the pythagorean theorem like so.

a^2 + b^2 = c^2

3^2 + x^2 = 12^2

Evaluate the exponents.

9 + x^2 = 144

Subtract 9 from both sides.

x^2 = 135

Square root both sides.

x = 11.618

Round this to the nearest tenth: 11.6 feet.

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Step-by-step explanation:

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Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

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 Combine like factors.

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Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

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Multiply 2 by 1

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