0
Trigonometry
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
3,810 Questions
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 = 5.196152423
Therefore: 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.
0.70710678118654752440084436210485
-----------------------
Improve:
If you mean 45 degrees then it equals: Sqrt (2) /2
(which is the exact form of the above approximate form)
What does trigonometry involve?
You need to be able to solve logarithms and be very good at algebra. In college, you have to be able to do college level algebra before you can take trig.
The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet.
Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin at an angle of 45 degrees with respect to the x axis. The third side connects the two end points of those line, but the length of that line does not matter.
Draw a fourth line from the top of the triangle straight down to the x axis. That is the height of the triangle, and it is also sine(45 degrees), which is one half the square root of two or 0.707. Take the base (1), multiply by the height (0.707) and divide by 2 and you get 0.354.
Technically, the fourth line is sine(45 degrees) divided by the hypotenuse, but since the hypotenuse is 1 (the second line), it was omitted in the prior paragraph for clarity.
What is another name for a cartesian coordinate system?
It is the Cartesian plane or grid system whereas coordinates of x and y are plotted on it.
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.
Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.
Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.
Height of flagpole is y2 - y1 = 90 - 75 = 15.
All results rounded to nearest integer.
What is the sine of 57degrees 12 minutes?
In angle measurement, 60 minutes = 1°
57° 12' = 57.2 °
Sin 57.2 = 0.84057 (5dp)
13 feet
i34 is the complex part of the number 0+i34. The real part is 0, so this is a purely imaginary number.
The length, or magnetude, of the vector is the square root of (6^2 + 8^2), or 10. The angle of inclination is tan-1 of (8/6), or 53.13 degrees.
What are the trigonometric functions for 330?
Assuming that means degrees, that's the same as -30 degrees. The sine of -30 degrees is exactly -0.5, the cosine is +root(3)/2, or about 0.866. You can deduce the remaining trigonometric functions from these; for example, tan(x) = sin(x) / cos(x).
No, polygons are made of straight, non-overlapping sides. An ellipse has curves.
What does trigonometric identities all about?
They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.
Are two equilateral triangles sometimes always or never similar to each other?
Since triangles have three sides and must have interior angles equal to pi or 180o, the three interior angles in all equilateral triangles will be pi/3 or 60o.
However, equilateral triangles must also have equal side lengths. Since equilateral triangles with interior angles of 60o will not necessarily have the same side lengths, two equilateral triangles will sometimes be similar to each other.
You may set the correct distance by trying different angles so that you feel confortable when climbing the ladder. Approximately between 80 to 130 cm. But it is the correct angle that can tell you the adequate distance from the wall. Only by climbing a ladder you know it. I advise you to put a piece of rubber under the ladder so that it can't slip.
Bicycle wheels with a diameter of 26 inches, travelling 35 miles per hour, are turning 452 revolutions per minute.
35 miles per hour is 36,960 inches per minute (25 *5280 * 12 / 60)
26 inches diameter is 81.7 inches circumference, so the revolutions per minute is 36,960 / 81.7 or 452 revolutions per minute.
How can I solve tan of 3 theta -sqrt of 3 equals 0 for theta?
tan3A-sqrt3=0
tan3A=sqrt3
3A=tan^-1(sqrt3)
3A= pi/3+npi
A=pi/9+npi/3
n=any integer
How do you solve this logarithmic equation ln x equals 5?
In the equation ln(x) = 5, the solution is x = (about) 148.4. To solve, simply raise e to the power of both sides and reduce...
ln(x) = 5
eln(x) = e5
x = 148.4
The three angles are 40, 50 and 90 degrees.
What the ecliptic line represent?
The line of the ecliptic is the path that the sun appears to trace through the sky over the period of a year.
What pyramids have an odd number of edges?
There are no pyramids with an odd number of edges.
A pyramid is defined as a polygon for the base, with triangular shaped faces rising from the base's edges to a common point above the plane. As a result, the number of rising edges is always equal to the number of base edges, meaning that the total number of edges is always even.
Cotx cot2x-cot2x cot3x-cot3x cot x?
Cot(x) [cot2(x)-cot2(x)] [cot3(x)-cot3(x)] cot(x) = cot2(x)
The second through fifth terms cancel each other out in pairs. The square brackets were added to make this clear.
