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base by height
Using Pythagoras' theorem it is 20 feet
Use the cosine ratio: 5.437846722 meters
It depends on the ratio between the base and the height. Bh=A, and B=(pi)(r2)
Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?
The ratio of the height of an object to the length of its base.
base by height
10,000 m
1/4 the height of the ladder. (flat top on rungs should be level when ladder is placed right.
base: 52 ft
Using Pythagoras' theorem it is 20 feet
This answer uses trigonometry to avoid a lot of work:tangent = opposite/adjacent and tangent*adjacent (base of ladder from the building) = opposite (height of ladder above ground)So: tangent 60 degrees*3 = 5.196152423Therefore: Top of the ladder above ground = 5.2 meters correct to one decimal place.More laborious methodThe right triangle formed by the wall, ground and ladder has sides in the ratio of 1::2::sq-rt-of-3. The shortest side is the one opposite the 30 degree angle, i.e., the given distance from wall to base of the ladder--3 m.The length of the ladder represents the hypotenuse of the triangle, and is twice as long, hence 6 m.And the height of the ladder's top from the ground is proportional to the third side whose length is sq-rt-3 times that of the shortest side. Sq-rt-3 is about 1.732, so height of the ladder's top at the wall is about 5.20 m, or 520 cm.
Use the cosine ratio: 5.437846722 meters
It depends on the ratio between the base and the height. Bh=A, and B=(pi)(r2)
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.
Sounds like the triangle is spread out so that (the point is at the top of the rectangle) and (the base of the triangle is the same as the base of the rectangle).Base of rectangle = base of triangleHeight of rectangle = height of triangleWrite the formulas:Area of the rectangle = (base) times (height)Area of triangle = (one half of) (base) times (height)Can you see the ratio now ?
15 meters, or less, depending on the angle.