Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

5 STARS 20 foot ladder is leaning against the side of a building the bottom of the ladder is 4 feet from the wall the bottom of the ladder is 4 feet from the wall how many feet above the ground does the ladder touch the wall

Sagot :

terez99

Answer:

400

The ladder is the hypotenuse of a right triangle. The 2 feet from the wall on the ground is one side, the distance up the wall is another side.

In a right triangle, the square of the hypotenuse is the sum of the squares of the other two sides. This is called the Pythagorean Theorem. In equation form:

c^2 = a^2 + b^2

Substitute the known values:

20^2 = 2^2 + b^2

Square the numbers:

400 = 4 + b^2

Subtract 4 from both sides:

b^2 = 400 - 4 = 396

Take the square root:

b = sqrt(396) = 19.9 (rounded) feet

Check:

20^2 ?= 2^2 + 19.9^2

400 ?= 4 + 396.01

400 ?= 400.01 (off just a bit due to rounding)

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.