It is: 25*cosine(65) = 10.565 feet rounded
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.
15*cos(60) = 7.5 7.5 m
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.
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.
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
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)
115
C 65
90 - 31 = 59 degree
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.
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.
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.
Since there is nothing "following", none of them!
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.
43 degresses
15*cos(60) = 7.5 7.5 m
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