The wind correction angle for a true course of 30 degrees, with an airspeed of 300, with a wind direction of 90, and with a wind speed of 50, is -8.3 degrees. The indicated course must then be 21.7 degrees.
CCORRECTION = sin-1 (VWIND sin (CWIND - CACTUAL) / VINDICATED)
What are the ways in describing a function?
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
What is the exact answer to the sine of 5pi 12?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. However, I am assuming the question is about sin (5pi/12). If not, please resubmit your question spelling out the symbols as "plus", "minus", "times"
sin(5pi/12) = sin(pi/4 + pi/6) = sin(pi/4)*cos(pi/6) + cos(pi/4)*sin(pi/6)
= √2/2*√3/2 + √2/2*1/2 = √2(√3 + 1)/4
If you look up at something and it is at 45 degrees then the distance away from the base is equal to its height. You are 50 feet from the pole.
What are some real life applications of trigonometry?
Trigonometry is not some sort of stand-alone academic subject but an integral (!) part of Mathematics as a whole - a concept apparently missed by many 'Answers' questioners. Rather than single examples, Trig is just one of many mathematical techniques used in:
Surveying. Navigation. Cartography. Geology. Mining & deep-well drilling. Civil and Mechanical Engineering design. Electrical & Electronic Circuit analysis and design. Harmonic Analysis (used in sound, vibration, oceanographic and electronic research to name 4 fields). Sonar and Radar signal generation, collection & analysis...... Astronomy: e.g. the Parsec used for measuring deep-space distances is a trig-based unit. ...
The man is 5.96 feet tall and the lamp is 17.88 feet high.
What are the characteristics of an isosceles triangle?
Two sides have the same length as each other. The other side may be shorter or longer in length than the other two sides.
What jobs involve trigonometry?
architecture
chemistry
engineering
mathematician
carpenter
plumber
electrician
computer programmer
graphics designer
Web site designer
graphic artist
3D animator
computer games developer
drafter
interior designer
landscape architect
lawn care specialist
mason
chemist
technical translator
patent scientist
surveyor
building inspector
building contractor
sound engineer
acoustics engineer
wave scientist
oceanographer
biologist
choreographer
theater lighting specialist
taxi router
delivery company router
craftsman or -woman
metallurgical engineer
teacher
philosopher
historian
artist
manufacturer
telecommunications engineer
packaging specialist
etc.
How do you prove the isosceles triangle theorem?
The isosceles triangle theorem states: If two sides of a triangle are congruent, then the angles opposite to them are congruent Here is the proof: Draw triangle ABC with side AB congruent to side BC so the triangle is isosceles. Want to prove angle BAC is congruent to angle BCA Now draw an angle bisector of angle ABC that inersects side AC at a point P. ABP is congruent to CPB because ray BP is a bisector of angle ABC Now we know side BP is congruent to side BP. So we have side AB congruent to BC and side BP congruent to BP and the angles between them are ABP and CBP and those are congruent as well so we use SAS (side angle side) Now angle BAC and BCA are corresponding angles of congruent triangles to they are congruent and we are done! QED. Another proof: The area of a triangle is equal to 1/2*a*b*sin(C), where a and b are lengths of adjacent sides, and C is the angle between the two sides. Suppose we have a triangle ABC, where the lengths of the sides AB and AC are equal. Then the area of ABC = 1/2*AB*BC*sin(B) = 1/2*AC*CB*sin(C). Canceling, we have sin(B) = sin(C). Since the angles of a triangle sum to 180 degrees, B and C are both acute. Therefore, angle B is congruent to angle C. Altering the proof slightly gives us the converse to the above theorem, namely that if a triangle has two congruent angles, then the sides opposite to them are congruent as well.
What are the two branches of Trigonometry?
The two branches of trigonometry are plane trigonometry, which deals with figures lying wholly in a single plane, and spherical trigonometry, which deals with triangles that are sections of the surface of a sphere.
Examples of oblique spherical triangle?
One example of an oblique spherical triangle is obtained by choosing any two points on the surface of the earth, perhaps two cities. (The earth is assumed to be a perfect sphere.) Now connect these two points with the shortest path possible on the surface of the earth. On a plane, the shortest path is a straight line, but a straight line connecting our two cities would pass below the surface of the earth. Instead, pass a plane through the center of the earth and the two cities. The intersection of this plane with the sphere is a great circle. (If you have a globe, stretch a string taught while it touches both cities, and the string will follow the great circle.) There are actually two ways to connect the cities... the "short" way and the "long" way. (The "long" way goes almost completely around the earth if the cities are close together.) Choose either one. Now, connect city one to the north pole with another great circle. This great circle is a meridian line (a line with the same longitude at all points). Again, you can choose the short or the long way around. (Note, if you choose the long way around, then the longitude of the line shifts abruptly at the south pole by 180 degrees.) Also connect city two to the north pole with a great circle. And you are done.
The three lines you have chosen, make a spherical triangle.
Why bother to make this triangle? One practical application is to use spherical trig with this spherical triangle. Given the latitude and longitude of the two points, one can easily compute the distance (along the surface of the earth) between the two cities.
How many rpm does a 18 inch dia wheel turn at 80 mph?
The circumference of an 18 inch diameter wheel is 3.14159 times 18 inches, or about 4.712 feet. 80 miles per hour is 80 times 5280 divided by 60, or about 7040 feet per minute. Divide 7040 by 4.712 and you get about 1494 revolutions per minute.
What is the period of a 10 KHz sine wave?
Period = (1/frequency) = 1/104 = 10-4 = 0.0001 second = 0.1 millisec = 100 micro sec.
What are the five integer rules?
I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.
What is the slope of a baseball mound in degrees?
The pitcher's mound is 10 inches off the ground when compared to home plate. The distance between the pitcher's mound and home plate is 60 feet, 6 inches or 726 inches.
We can use these to formulate a triangle where the triangle's base is 726 inches and its height is 10 inches, with an unknown hypotenuse length. We assume the triangle to be a right triangle at the pitcher's mound on the ground, and an angle of elevation (a) at home plate.
Using the Pythagorean theorem, we find that the length of this triangle's hypotenuse is 726.06886 inches, and using the law of sines, we find that the angle of elevation of the pitcher's mound from home plate is 0.78914 degrees.
To an appropriate degree of accuracy and using the sine formulae the other lengths are 3.81 cm and 4.20 cm with the area of the triangle being 7.81 square cm.
What are the matric results of the 2008 Faisalabad board exams for the ninth class?
Results of the exams can be found using the link below
What is the difference between a tacheometer and a theodolite?
A tacheometer is a type of theodolite used for rapid measurements. It determines the distance to the target electronically or electro-optically. Tacheometry is a system of rapid surveying that does not use chain or tape. There are times when measuring with a theodolite and measuring tape can be dangerous or impossible.
A theodolite is an older surveying tool. Those were just precision optical devices used to compute angles between known fixed points, and they required using trigonometry to get the final values. However, there are modern versions of theodolites called Total Stations that are more convenient to use than even a tacheometer. These will cost you about $50,000 a piece or so.
Please note that the question asks about a tacheometer (or tachymeter) which is a surveying tool, not a tachometer which measures engine speed.
How do you express Cosecant in terms of Cosine?
cosec (x) = 1/(sqrt(1-cos^2 (x))) x is real. Take the functions with proper signs. sqrt(c) denotes the square root of real c.
What are the kinds of trigonometry?
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.