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If a painter has a ladder 20 feet long .How high will the ladder reach if he set the base 2 feet from the building?
19.8997487421324 ft
This 19 ft and around 10.8 inches.
You need to use the following rule about right angled triangles, that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse (the long side)
In this example, the hypotenuse is the ladder itself, resting at an angle against the wall. So the square of the ladder length is 400
You know that the base of the triangle is the distance from the wall (2 feet) which squared is 4.
Subtract 4 from 400 and you get 396. The square root of this is 19.9 feet or 19 feet and 10.8 inches.
However, note that a ladder should normally be placed at an angle of around 15 degrees from the vertical. A two foot base is too steep for safe use. See the discussion for more on this.
You calculate this using the following formula:
What else can I help you with?
When a painter leans a 20 foot ladder against a building the base of the ladder is 12 feet from the building to the nearest foot how high on the building does the ladder go?
32
How far up a wall will a 12m ladder reach If the foot of the ladder must be 4m from the base of the wall?
16
A 48-foot ladder is leaning against the wall of a building The top of the ladder is touching the ledge of a window that is 45 feet off the ground About how far is the base of the ladder from the wal?
93
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
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.
When a painter leans a 20 foot ladder against a building the base of the ladder is 12 feet from the building to the nearest foot how high on the building does the ladder go?
32
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 painter is painting a mural on a wall. He has a 20-foot ladder. He needs to work on a part of the wall that is 16 feet above the ground. How far from the base of the building should he place the foo?
Using Pythagoras' theorem the the foot of the ladder should be 12 feet away from the base of the building.
How long a ladder in needed to reach a window 20 ft. high if it's base rest 7 ft. from the base of the building?
27
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 14 foot ladder is leaning against a building the ladder makes a 45 degree angle with the building how fa?
To find how far the base of the ladder is from the building, we can use the properties of a right triangle. With a 45-degree angle, the height at which the ladder touches the building is equal to the distance from the building to the base of the ladder. Therefore, using the Pythagorean theorem, the distance from the wall is approximately 10 feet.
When a painter leans a 29 foot ladder so that the base of the ladder is 21 feet from the wall. What is the height at which the top of the ladder touches the wall?
Using Pythagoras' theorem it is 20 feet
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 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
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?
The angle formed between the ladder and the house is typically a right angle (90 degrees) if the ladder is resting against the wall of the house. This assumes that the base of the ladder is on the ground and the wall is vertical. If the ladder is leaning at an angle, the specific angle would depend on how far the base of the ladder is from the wall and its height against the wall.
How far up a wall will a 12m ladder reach If the foot of the ladder must be 4m from the base of the wall?
16
