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How many meters from the building should the heel of a 10 meter ladder be placed to reach a height of 8 meters?

To find the distance from the building where the heel of a 10-meter ladder should be placed to reach a height of 8 meters, we can use the Pythagorean theorem. Let ( d ) be the distance from the building. The equation is ( d^2 + 8^2 = 10^2 ). This simplifies to ( d^2 + 64 = 100 ), resulting in ( d^2 = 36 ), thus ( d = 6 ) meters. Therefore, the heel of the ladder should be placed 6 meters from the building.


A 40 foot ladder is placed against a building the ladder forms a 75 degree angle with the ground How high up the building does the ladder reach?

115


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 ladder that is 13 feet long leans against a building The bottom of the ladder is 5 feet away from the base of the building How far up the side of the building does the ladder reach?

18


A ladder is leaning against a building The base of the ladder is 5 feet from the building The building is perpendicular to the ground and the top of the ladder reaches 10 feet high on the building?

15

Related Questions

Pyhtagorean Theorem A firefighter has a 22-foot ladder If he stand the bottom of the ladder 7 feet from the base of a building will the ladder be long enough to reach a window 19 feet from the groun?

he should bud the ladder so it wouldn't be able to reach


A window sill is 12 feet above the ground How far must a ladder extend to reach the sill if the foot of the ladder is 5 feet from the building?

17


How long a ladder is required to reach the roof?

that depends on the hieght of the building.


If A painter leans a 34ft ladder against a building The base of the ladder is 16ft from the building To the nearest foot how high on the building does the ladder reach?

30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.


How many meters from the building should the heel of a 10 meter ladder be placed to reach a height of 8 meters?

To find the distance from the building where the heel of a 10-meter ladder should be placed to reach a height of 8 meters, we can use the Pythagorean theorem. Let ( d ) be the distance from the building. The equation is ( d^2 + 8^2 = 10^2 ). This simplifies to ( d^2 + 64 = 100 ), resulting in ( d^2 = 36 ), thus ( d = 6 ) meters. Therefore, the heel of the ladder should be placed 6 meters from the building.


A 6 m ladder is used to reach a window 5 m above ground. What is the farthest distance from the base of the wall that the foot ladder can reach?

It depends if you want the ladder to overhang or to be set under but I would say 2 feet or 2/3 of a meter


A 40 foot ladder is placed against a building the ladder forms a 75 degree angle with the ground How high up the building does the ladder reach?

115


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.


Why does Sofi need a ladder?

Sofi needs a ladder to reach high places that she cannot reach on her own.


A ladder that is 13 feet long leans against a building The bottom of the ladder is 5 feet away from the base of the building How far up the side of the building does the ladder reach?

18


How high up on a building will a 15 foot ladder reach if the foot of the ladder is placed 5 feet from the building?

20


A ladder is leaning against a building The base of the ladder is 5 feet from the building The building is perpendicular to the ground and the top of the ladder reaches 10 feet high on the building?

15