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What is the answer to A ladder 15 feet long leans against a wall and forms an angle of 45 degrees with the ground how far from the wall is the ladder?
Assuming the wall is vertical, the wall, the ground and the ladder form an isosceles right-angled triangle. Pythagoras tells us that the square of the length of the ladder, in this case 225 equals the sum of the squares of the other two lengths, ie the height where the ladder touches the wall and the bottom of the ladder's distance from the wall. As these distances are equal in an isosceles triangle each must be the square root of (225/2) ie sqrt 112.5 which is 10.6066, as near as makes no difference to 10 ft 71/4 inches
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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.
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 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.
How far from the base of a house is the bottom of a 25 ft ladder that makes an angle of 65 degrees with the ground?
It is: 25*cosine(65) = 10.565 feet rounded
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'/Xsolving for X gives X=20.85'
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 firefighter places a ladder against a building The ladder forms a 47 angle with the ground What is the measure of the angle between the ladder and the building?
43 degresses
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.
What is the safest angle for a ladder to prevent accidents and ensure stability?
The safest angle for a ladder is about 75 degrees from the ground. This angle helps prevent accidents and ensures stability while using the ladder.
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.
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.
9.0 m ladder rests against the side of a wall the bottom of the ladder is 1.5 m from thebase wall derter the measure of the angle between the ladder and the ground to the nearest degree?
Oh honey, we've got ourselves a classic right triangle situation here. Using some good ol' trigonometry, you can find that the angle between the ladder and the ground is approximately 83 degrees. Just remember, math may not be your friend, but it's definitely not your enemy either.
A ladder is leaning against a wall If the angle is between the ground and the ladder at 60 degrees and the wall is 4m how long is the ladder Give exact values?
If the angle between the ladder and the ground is 60 deg, and you know the angle between the ground and the wall is 90 deg, then you have a 30-60-90 degree triangle, which is a common triangle. You should memorize this one. The commonest sides of this right triangle are 4-5-6, with the longest side being the hypoteneuse, in this case the ladder leaning from the ground to the wall. The wall is 4m high, the base of the ladder would be 5m out from the wall, and the length of the ladder is 6m.
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 ladder should be erected at an angle to the ground of A 35 degrees B 75 degrees C 65 degrees D 85 degrees?
C 65
What is safe angle of inclination of ladder?
About 15 degrees. Many, if not most, extension ladders today have a sticker on the side that shows a line that should be parallel to the ground when the ladder is at the proper safe angle.
What angle does bottom of ladder make with ground when leaned against a houseon a 31 degree angle from the top?
90 - 31 = 59 degree
