Posts Tagged ‘SOHCAHTOA’
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 »
Tuesday, November 10th, 2009
How to Find the Opposite and Adjacent Sides of a Triangle
Description
A detailed tutorial on how to find the opposite and adjacent sides of a triangle. Step by step tutorial including several examples of finding the opposite and adjacent sides of a triangle for reference.
Overview
When using SOHCAHTOA, you will often see something such as “find the opposite side” or “find the adjacent side.” Unlike the hypotenuse, the opposite and adjacent sides change depending on what angle you are working with. The right angle is found opposite the hypotenuse and you will never be working it. Tip your triangle so that your right angle is balanced across the bottom and left, and your hypotenuse crosses the right. You will be working with the angles on the top and on the bottom right. The adjacent side is one of the sides that forms your angle – one of which is the hypotenuse, so it is the other side. And to find the opposite side, draw a straight line from your angle. The line it crosses should be the one directly across from your angle, and it is the opposite side.
Tags: adjacent, angle, cosine, hypotenuse, opposite, pythagorean theorem, side, sine, SOHCAHTOA, tangent, trig, trigonometry
Posted in Trigonometry | No Comments »
Friday, September 18th, 2009
The Tangent Rule and Formula
Description
A detailed tutorial on solving unknown lengths and angles of a triangle using Tangent.
Overview
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent sides. The formula for tangent is:
Tags: cosine, formula, Geometry, Inside, length, Math, rule, sine, SOHCAHTOA, tangent, triangle
Posted in Geometry | No Comments »
Friday, September 18th, 2009
The Sine Rule and Formula
Description
A detailed tutorial on solving unknown lengths and angles of a triangle using Sine.
Overview
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The formula for sine is:
Tags: angle, cosine, formula, Geometry, Inside, length, Math, rule, sine, SOHCAHTOA, tangent, triangle
Posted in Geometry | No Comments »
Thursday, September 17th, 2009
The Cosine Rule and Formula
Description
A detailed tutorial on solving unknown lengths and angles of a triangle using Cosine.
Overview
The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The formula for cosine is:
Tags: cosine, Geometry, Math, mathematics, SOHCAHTOA, trigonometry
Posted in Geometry | No Comments »
Friday, September 11th, 2009
How to Use SOHCAHTOA
Description
A detailed tutorial on the solving of SOHCAHTOA. Step by step tutorial including several examples of how to solve SOHCAHTOA problems for reference.
Overview
SOHCAHTOA, often spaced out to spell SOH-CAH-TOA, stands for Sine = Opposite/Hypontenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent. You use it with an angle to help solve for the sine, cosine, or tangent of that angle. What Opposite, Adjacent, and Hyptonuse stand for are the sides of a triangle – the side exactly opposite your angle, the hypotenuse, and the third non-hypotenuse side that is next to your angle. Because of this, SOHCAHTOA can only be used with a right triangle. The values for opposite, adjacent, and hypotenuse are the length of the side of the triangle it stands for. It is not necessary to know the measure of the angle before using SOHCAHTOA.
Tags: adjacent, angle, cosine, Geometry, hypotenuse, length, Math, opposite, right triangle, side, sine, SOH-CAH-TOA, SOHCAHTOA, tangent, triangle, trigonometry
Posted in Geometry, Trigonometry | No Comments »
