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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?
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.
Can you put a ladder to the sun and climb up?
No, it's not physically possible to put a ladder to the sun and climb up to it. The sun is incredibly far away, with a surface temperature of around 5,500 degrees Celsius. It's also not a solid object but a ball of gas, so a ladder would not be able to support any weight on its surface.
A ladder that leans against a building makes an angle of 49 degree with the ground and reaches a point on the building 12m above the ground Find the length of the ladder to the nearest meter?
The ladder forms a right angle with the building: the ground and the building forming the right angle and the ladder forming the hypotenuse. If the length of the ladder is L metres, then sin(49) = 12/L So L = 12/sin(49) = 15.9 = 16 metres.
An 80kg man is 14 of a way up a 10m ladder that is resting against a smooth frictionless wall What is the friction force if the ladder weighs 20kg and makes an angle of 60 degrees?
The ladder's weight does not affect the friction force between the ladder and the wall. The friction force is the horizontal component of the normal force acting on the ladder, which is equal to mass * gravity * cosine(angle). In this case, it would be (80 kg + 20 kg) * 9.81 m/s^2 * cos(60 degrees).
