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The distance from the bottom of the ladder to the building is18 foot less than the length of the ladderHow high up the building is the top of the ladder if that distance is 1 ft less than the length?
Wiki User
∙ 14y ago
X is the length of the ladder and the hypotenuse of a Pythagorean Triangle so:
x2 = (x - 18)2 + (x - 1)2 ie x2 - 36x + 324 + x2 - 2x + 1 which is 2x2 - 38x + 325
this is the same as x2 - 38x + 325 = 0 which factorises as (x - 13)(x - 25) so the ladder is either 13 or 25 feet long but it can't be 13 so the lengths are 25ft ladder, 7 feet from the building and 24 feet up the wall.
Wiki User
∙ 14y ago
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A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
An extension ladder's distance from the base of a building should be what proportion of it's total extension?
It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)
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
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
what- a ladder rests against a building at an angle as shown, with endpoints (-2,0 ) and (0,8). what is the slope of the ladder?
4
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet?
A. 11 feet B. 13 C. 12 D. 14.
A 10 meter ladder is leaning against a building The bottom of the ladder is 5 meters from the building How many meters high is the top of the ladder?
5 meters
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
A ladder is leaning against a building the distance from the building to the botton of the ladder is 7 feet the ladder is 25 feet long how high up the building is the top of the ladder?
It is: 24 feet by using Pythagoras' theorem
What is 4 to 1 ratio for ladder use?
That probably refers to the ratio between the length of the ladder, and the distance at which you place the bottom part of the ladder from the wall. If this distance is too short, you have the risk of the ladder falling backwards.
A 24-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 22 feet from the basse of the building?
56
A ladder is leaning against a building The distance from the bottom of the ladder to the building is 4ft less than the length of the ladder How high up the side of the building is the top of the lad?
x^2=(x-4)^2+y^2 height up the wall = y = (x^2-(x-4)^2)^1/2 so if the length of the ladder is 10 feet Y= (100-36)^1/2 = 8
An extension ladder's distance from the base of a building should be what proportion of it's total extension?
It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)
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 10-m ladder is leaning against a building The bottom of the ladder is 5 m from the building. how high is the top of the ladder?
Its pythagoras: 102 - 52 = vertical height2. So 100-25 = vertical height2. Then the square root of 75 must = vertical height. Which makes the top of the ladder 8.66 feet (8ft 8 inches) from the ground.
A ladder 3m long leans against a wall reaches 2m up the wall What is the distance between the bottom of the ladder and the wall?
If you are asking, what's the distance (x) from the bottom of the ladder to the wall, then... x squared + 2 squared = 3 squared x squared + 4 = 9 x squared = 5 x = the square root of 5, or approx 2.24 m
Can a roofer who wants to repair your roof that is 28 feet above the ground level use a 28 foot ladder?
No. since the ladder must be on an angle it must have room so that the length of the ladder is equal to the 282 + (distance between bottom of ladder and house)2.
