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A ladder is leaned against a wall at an angle of elevation of 46 degrees The top of the ladder reaches the wall at 15 feet How long is the ladder?
First, draw a picture of the situation.
Let the length of the ladder be X.
Notice that X is the hypotenuse of a right triangle.
Notice that the side opposite of the known angle is known.
Remember that the sine of an angle is (side opposite)/(hypotenuse), so that sin46o=15'/X
solving for X gives X=20.85'
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What is the answer to A 15-m long ladder rests against a wall at an angle of 60 degrees with the ground How far is the foot of the ladder from the wall?
15*cos(60) = 7.5 7.5 m
A 32 foot extension ladder is leaning against a building making an angle of elevation of 80 degrees how high up the side of the building does the ladder extend?
112
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.
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
A ladder leans against a wall making an angle of 73 degress with the ground The ladder's base is 1.17m away from the wall Determine the length of the ladder?
Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio: cosine = adjacent/hypotenuse Which when rearranged is: hypotenuse = adjacent/cosine hypotenuse = 1.17/cosine73 degrees = 4.001755235 So the length of the ladder is 4 metres correct to one significant figure.
What is the angle of elevation of a ladder leaning against a wall if the ladder is 2 meters long and reaches a height of 1.5 meters?
The angle of elevation of the ladder leaning against the wall is approximately 48.59 degrees.
What is the answer to A 15-m long ladder rests against a wall at an angle of 60 degrees with the ground How far is the foot of the ladder from the wall?
15*cos(60) = 7.5 7.5 m
A 32 foot extension ladder is leaning against a building making an angle of elevation of 80 degrees how high up the side of the building does the ladder extend?
112
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.
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.
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
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 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.
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
What is the preposition - the ladder was leaning the roof?
The preposition in the sentence is "against." The ladder was leaning against the roof.
What is the height base ratio for a ladder?
The height-to-base ratio for a ladder is determined by the relationship between the vertical height the ladder reaches and the distance from the base of the ladder to the wall or structure it leans against. A common guideline is to maintain a ratio of 4:1, meaning that for every four feet of height, the base should be one foot away from the wall. This helps ensure stability and safety while using the ladder.
How long does a 12 foot extension ladder extend to?
A 12-foot extension ladder, when fully extended, reaches a maximum height of approximately 12 feet. However, the actual reach can be affected by the angle at which the ladder is placed against a wall or surface. Generally, to ensure safety and stability, it is recommended to set the ladder at a proper angle, which might reduce the vertical reach slightly.
