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Nata [24]
3 years ago
6

A 25ft ladder is placed 7 feet from the wall, as shown. How high up the wall with the ladder reach?

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

24 ft up the wall

Step-by-step explanation:

We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse

a^2 +b^2 = c^2

7^2 +b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49-49 +b^2 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

We only take the positive solution since length cannot be negative

The ladder will reach 24 ft up the wall

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