14
Use Pythagoras' theorem to solve this problem:
a2+b2 = c2 (the ladder)
c2-a2 = b2 (height of wall)
100-16 = 84. The square root of 84 is 9.16515139
Therefore the ladder will reach 9 feet up the wall to the nearest foot.
9
18
Twenty divided by the cosine of 32 gives you 23.584 ft
17
It appears to be a question that involves Pythagoras' theorem of a right angle triangle whereas the dotted line represents the hypotenuse and without any relevant information the height of the ladder from the ground can't be worked out.
20
30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.
8
10.9 [11]
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)
18
8
9.2
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.
15 meters, or less, depending on the angle.
115
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
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