0
A ladder 10 ft long leaning against a wall at a 71 angle how high up the wall does the ladder reach?
Wiki User
∙ 14y ago
10 sin71 = 10 x 0.9455 = 9.455 feet (just under 9' 5½")
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
How long must a ladder be to reach the top of a 20 foot wall if the ladder and the wall form a 32 degree angle?
Hypotenuse = 20/sin580 = 23.58356807 Length of ladder: rounded to 23.584 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]
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.
A farmer leans a 12-ft ladder against a barn The base of the ladder is 3 ft from the barn To the nearest foot how high on the barn does the ladder reach?
Arthur Pythagoras rules! 12 x 12 = 3 x 3 + x2, so x2 = 144 - 9 and x = sqrt 135 = 11.62 so to the nearest foot it reaches 12 feet (actually 11.62)
How long must a ladder be to reach the top of a 13 foot?
This isn't hard to figure out if you know how far you want the base of the ladder from the wall. All you have to do is use the Pythagorean Theorem. The theorem is A2 + B2 = C2. A and B are the short sides and C is the hypotenuse (the side opposite the right angle). When dealing with a ladder, the ladder is the hypotenuse, or the C in the equation. Another way to put the formula is to multiply A by itself and B by itself, add them together, then take the square root of the result. Decide how far you want the base of the ladder from the building. Multiply that by itself then add that to 169 (that is the square of 13). Then take the square root of that and you get the ideal ladder height. Lets assume 5 feet from the wall. The square of that is 25. 169 plus 25 gives 194. The square root of 194 is 13.928, and we would round up to 14 feet. If you mean a step ladder, and you are trying to reach a ceiling, then you would need roughly the height of the room minus your own height. You might want to add a tad more. You could make it shorter, but that would not be wise, since you should always avoid the top two steps if possible.
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 10-foot ladder is leaning against a tree The bottom of the ladder is 4 feet away from the bottom of the tree About how high up the tree does the top of the ladder reach?
9.2
How do ladders work?
The main purpose of a ladder is to allow people to get higher than they can reach. A ladder works by leaning it up against a solid surface and then the person climbs the ladder using the rungs.
A 30 foot ladder leaning against the side of a house makes a 70 degrees 5' angle with the ground how far up the side of the house does the ladder reach?
Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.
How long must a ladder be to reach the top of a 20 ft wall if the ladder and the wall form a 32 degree angle?
A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58
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.
How long must a ladder be to reach the top of a 20' wall if the ladder and the wall form a 32 angle at the top?
23.53
A ladder of 2.8 meters is leaning up against a wall it is 1.3 meters away from the wall how high will the ladder reach up the wall?
This question is where you use the Pythagorean Theorem. Go to http://en.wikipdedia.org/ and search for Pythagorean Theoremif you don't already remember what it is, and good luck.
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 long must a ladder be to reach the top of a 20' wall if the ladder and the wall form a 32 degree angle (at the angle)?
Then an angle of 58 degrees will be at the bottom of the ladder. Use trigonometry and the sine ratio: sin = opp/hyp and hyp = opp/sin hyp = 20/sin(58) = 23.58356807 length of ladder = 24 feet to the nearest foot
How long must a ladder be to reach the top of a 20 foot wall if the ladder and the wall form a 32 degree angle?
Hypotenuse = 20/sin580 = 23.58356807 Length of ladder: rounded to 23.584 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]
