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A 40 foot ladder is set against the side of a house so that it reaches up 24 feet. If Lily
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 20 ft.) Round to the
nearest tenth of a foot.


Sagot :

Answer: 28.56 ft

Step-by-step explanation:

Answer:

17.4

Step-by-step explanation:

got it wrong on delta

a^{2}+(36)^{2}=

a

2

+(36)

2

=

\,\,40^{2}

40

2

Use the Pythagorean Theorem.

a^{2}+1296=

a

2

+1296=

\,\,1600

1600

Simplify.

-1296\phantom{=}

−1296=

\,\,-1296

−1296

Subtract 1296 from both sides.

a^{2}=

a

2

=

\,\,304

304

\sqrt{a^{2}}=

a

2

=

\,\,\pm\sqrt{304}

±

304

Square root both sides.

a=

a=

\,\,17.435595...

17.435595...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,17.4

17.4