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How is the Pythagorean Theorem used in everyday experiences?

You lean a ladder that reaches to the top of a house. You want to measure how tall the house is, but you can't measure it. The base of the ladder is 6 feet away from the house and the ladder is 26 feet long. How tall is the house?


8 foot ladder how far from the wall should you place the base of the ladder?

It should be placed 2 ft from the wall


A painter is standing at the base of a ladder that is leaning against the side of a house What angle do the ladder and the house form?

It can be any angle that is more than zero degrees and less than 90 degrees. <><><> It will be an ACUTE angle, and if the ladder is placed properly (1 ft out for each 4 ft up) the angle between wall and ladder will be ABOUT 18 degrees.


How far from the base of the house do you need to place a 15 ladder so that if exactly reaches the top of a 12 foot tall wall?

Using Pythagoras' theorem it is 9 feet


Ken leans a 12-foot ladder against his house He places the ladder so that the base is 5 feet from the house How far up the house does the ladder reach?

10.9 [11]


a 12 foot ladder is placed against a wall so that the base of the ladder is 2 feet away from the wall. What is the height of the top of the ladder?

10,000 m


Approximately how far should the bottom of the ladder be from the base of the wall?

1/4 the height of the ladder. (flat top on rungs should be level when ladder is placed right.


A 5 m ladder leans against a house it is 3 m from the base of the wall how high does the ladder reach?

8


How high up a building will a ladder reach if it is 6 meters high and it's base is 1 meter?

To determine how high the ladder reaches, we can use the Pythagorean theorem. The ladder forms a right triangle with the height of the building and the distance from the building to the base of the ladder. In this case, the ladder is the hypotenuse (6 meters), the base is 1 meter, and we need to find the height (h). Using the formula ( h = \sqrt{6^2 - 1^2} = \sqrt{36 - 1} = \sqrt{35} \approx 5.92 ) meters. Thus, the ladder reaches approximately 5.92 meters up the building.


A 15 metre long ladder is placed against a wall in such a way from the wall up to what height does the ladder reach the wall?

15 meters, or less, depending on the angle.


5m ladder leans against a house it is 3 m from the base of the wall how high does that ladder reach?

8


A ladder 15ft long leans against a wall the top of the ladder reaches a height that is 3 ft more than twice the distance from the base of the ladder to the wallhow high up the does this ladder reach?

18