This question is where you use the Pythagorean Theorem. Go to http://en.wikipdedia.org/ and search for Pythagorean Theoremif you don't already remember what it is, and good luck.
15 meters, or less, depending on the angle.
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Yes, there would. For example, how high a ladder do you need to reach the roof? Answer is the difference between the roof height and your reach.
19.8997487421324 ft This 19 ft and around 10.8 inches. You need to use the following rule about right angled triangles, that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse (the long side) In this example, the hypotenuse is the ladder itself, resting at an angle against the wall. So the square of the ladder length is 400 You know that the base of the triangle is the distance from the wall (2 feet) which squared is 4. Subtract 4 from 400 and you get 396. The square root of this is 19.9 feet or 19 feet and 10.8 inches. However, note that a ladder should normally be placed at an angle of around 15 degrees from the vertical. A two foot base is too steep for safe use. See the discussion for more on this. You calculate this using the following formula:
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.
10 sin71 = 10 x 0.9455 = 9.455 feet (just under 9' 5½")
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15 meters, or less, depending on the angle.
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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.
A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58
10.9 [11]
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30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.
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