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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
The hypotenuse of a right triangle is the side opposite the blank?
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How do you find an angle of a right angled triangle if you know 2 sides?
You use the Pythagorean theorem, which can only be applied to right triangles:
a2+b2=c2, where a and b are the triangle's legs and c is the triangle's hypotenuse.
Plug the two sides you know into the equation, then solve for the unknown side.
What are the properties of equilateral triangles?
The sides are equal and the internal angles are equal each being 60 degrees hi im STEVE(not really)
Why use 360 degree in trigonometry?
The ancient Babylonians thought it a good idea. 360 is approximately equal to the number of days in a year - the time it takes the earth to go around the sun. Also, 360 is divisible by lots of numbers.
For advanced mathematics, you do not use 360 degrees but pi radians, anyway.
What is the truth about her getting knocked in the head?
We need the name of the person in order to answer the question.
How far back will a 12 lb ball be while being dragged from a boat going 3 miles per hour 40 ft down?
The difficulty with your question is that it does not clearly define the problem. For example, a 12 pound ball made of lead will weigh the same as a 12 pound ball made of balsa wood, but the balsa wood ball (measuring several feet across) will float where the 12 pound ball made of lead will measure just a couple inches across and sink readily. To further complicate things, the line (rope or chain) you use to drag the ball also creates drag just as the ball would do. The size of the line and what it is made of is important, too, because the line will hang in what is called a catenary, a kind of sag in the line. There is a formula for the catenary, a formula for the drag on the ball, and a formula for the drag on the line, itself.
The final consideration is the consistency of the sea bottom. Dragging a ball through kelp will be different than dragging a ball across packed mud or loose gravel.
There are many things to consider besides speed, depth, and weight of a ball. Put all that together and then you mightget a close answer to what you seek.
To give you an idea that will get you in the ball park, so to speak, assume that the line drags out to an exact triangle. There are three sides to the triangle: a, b, and the hypotenuse (c). Assuming the drag will cause a 45 degree angle, then the depth down (a) will be the same as how "far back" the ball is (b) and the hypotenuse (how long the line is) will be the square root of the sums of the squares of the two sides (c). That is, as the Scarecrow quoted Pythagoras in the Wizard of Oz, "The square of the hypotenuse is equal to the sums of the squares of the other two sides!" In this case, two times forty squared is 3200 and the square root of that is just over 56 1/2 feet. But, remember: this won't be anywhere near where a real ball and line will be. The problem is more complex than a lesson from the Scarecrow.
~Let us not forget to include the salinity of the waters involved, which would affect the bouyancy of any items in it. Plus, whether or not this alleged ball is actually round, or somehow oval in shape. Plus; 40 feet down and how far outwill make yet another difference to your recalculations.
What is the hypotenuse of a right angle triangle give two sides of 30ft and 160ft?
Pythagoras theorem: a2+b2=c2 (where c is the hypotenuse and a and b are the two other sides)
Substitute:
302+1602= \/26500 = (10\/265)ft
What is a right triangle the longest side which is opposite the right angle?
in a right angle triangle, yes it is 90 degrees an it opposite would be the hypotenuse.
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Does the sine function appear to be continuous?
Yes, it does "appear" to be continuous, by the simple fact that it is continuous for all values of the input.
Is there a right triangle equal to pi?
No, it is not.
A triangle is a two-dimensional figure whereas pi is a dimension-less number.
How are you using pythagorean theorem in science especially physics and engineer?
The distance, in 2-D space, between the points whose coordinates are (x1, y1) and (x2, y2) is sqrt[(x1 - x2)^2 + (y1 - y2)^2] : a straight application of Pythagorean theorem. The extension to 3-D space is simply to include the corresponding term using x1 and z2.
Given that sin p equals 50 degrees express tan -130 degrees in terms of p?
Sin p is a ratio and so a number: it cannot have units such as degrees. As a result, the question is meaningless and so cannot be answered.
What is the largest angle of a triangle with sides of 5.8 cm 14.1 cm and 8.3 cm?
The given dimensions will not form any kind of triangle because the sum of its 2 smallest sides is equal to its longest side and so therefore finding the largest angle is not possible.
Why is mathematics categorized into pure and applied?
Applied mathematics focuses on the application of mathematical principles to real world problems, and even some abstract problems. Engineering, theoretical physics, and computer science all make use of applied mathematics, and frequently firms of these types will employ mathematicians to supplement their group of employees. I.e. some video game developers employ mathematicians for complex physics modeling equations. Some physicists seek the help of mathematicians to provide rigorous proofs and other mathematical support for abstract concepts.
Pure math is the study of math, with the goal being the improvement of the foundations or concepts of math. Pure math is the study of the underlying mechanisms that cause mathematical techniques to work, the improvement and justification of these techniques and development of new techniques all fall under pure math. I.e. developing a substitute for traditional trigonometry would be pure math(chose that example because someone recently did that). They also analyze abstract math problems and see what concepts could apply to them or why they work.
The *are separated for the same reason physics and engineering are separated.
It would be less efficient to focus on both the development of mathematical concepts and ways to apply these concepts to the real world. Too much workload for most students. In the same vein a physicist doesn't have time to learn all the technology and applications of physics to eliminate the job of an engineer, even though the physicist probably has a better understanding of the physics that the engineer would use on a daily basis.
I'm sure there are places to improve this answer. Please feel free.
