Posts Tagged ‘calculate’
Tuesday, November 24th, 2009
How to Calculate the Angle of Depression
Description
A detailed tutorial on calculating the angle of depression. Step by step tutorial including several examples of the angle of depression for reference.
Overview
The angle of depression is the angle at which a person must be looking in order to see an object that is lower than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base, when the base of the triangle is actually located at the top of the figure. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.
Tags: angle, calculate, cosine, depression, horizontal, line, lower, object, point, right, sine, SOHCAHTOA, tangent, triangle, trig, trigonometry
Posted in Trigonometry | No Comments »
Tuesday, November 24th, 2009
How to Calculate the Angle of Elevation
Description
A detailed tutorial on how to calculate the angle of elevation. Step by step tutorial including several examples of the angle of elevation for reference.
Overview
The angle of elevation is the angle at which a person must be looking in order to see an object that is higer than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.
Tags: angle, calculate, cosine, elevation, higher, horizontal, line, object, point, right, sine, SOHCAHTOA, tangent, triangle, trig, trigonometry
Posted in Trigonometry | No Comments »
Friday, October 30th, 2009
How to Solve Work Rate Problems
Description
A detailed tutorial on solving work rate problems. Step by step tutorial including several examples of work rate problems for reference.
Overview
A work rate problem is a word problems that asks you to calculate the amount of time it will take to do something with two different rates of work. They first show up in basic algebra courses but work rate problems get more complicated and will continue on even in calculus. It is easier to solve work rate problems if you use a chart. First, you need to find the task rate – the rate at which each person is doing something. You do this by dividing the number of tasks (which should be one) by how many hours it takes them to finish it. Then you choose a variable for time. Your task will take that variable divided by the number of hours. You should come up with 2 (or more) results for task. Add these results together and have them equal the number of people there are total working on the task. Then solve for your time variable. Sometimes it will be difficult to solve for the time variable without using an algebra trick of multiplication to change the numbers a bit.
Tags: add, algebra, calculate, Calculus, chart, divide, hours, problem, proportion, rate, task, time, variable, word, work
Posted in Algebra | No Comments »
Friday, September 25th, 2009
Using Simpson’s Rule to Solve Error Bounds
Description
A detailed tutorial on using Simpson’s rule and solving error bounds. Step by step tutorial including examples of solving error bounds using Simpson’s rule for reference.
Overview
Simpson’s rule is a rule in calculus that is used to solve error bounds. It is the more complicated form of both the trapezoidal rule and the midpoint rule, both of which are also used to calculate error bounds. Although this rule is harder to use than either one of those, it is more accurate. The Simpson’s rule does not use anything except for numbers to calculate the space under a graph, and is expressed by this formula:
![\int_{a}^{b} f(x) \, dx \approx \frac{b-a}{6}\left[f(a) + 4f\left(\frac{a+b}{2}\right)+f(b)\right]](http://s.wordpress.com/latex.php?latex=%20%5Cint_%7Ba%7D%5E%7Bb%7D%20f%28x%29%20%5C%2C%20dx%20%5Capprox%20%5Cfrac%7Bb-a%7D%7B6%7D%5Cleft%5Bf%28a%29%20%2B%204f%5Cleft%28%5Cfrac%7Ba%2Bb%7D%7B2%7D%5Cright%29%2Bf%28b%29%5Cright%5D&bg=ffffff&fg=000000&s=0 "\int_{a}^{b} f(x) \, dx \approx \frac{b-a}{6}\left[f(a) + 4f\left(\frac{a+b}{2}\right)+f(b)\right]")
Tags: accurate, area, calculate, Calculus, error bounds, formula, function, graph, Math, midpoint, Simpson's rule, trapezoidal
Posted in Calculus | No Comments »
