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This is a right angled triangle. A radio mast is 36m high(opposite), and the angle (adjacent) of elevation shown is 63 degrees. Work out the length of the hypotenuse.

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It is not clear which angle you are talking about...

In one case the Hypot = 36/(cos(63)) meters. (about 79 meters)

The other case Hypot = 36/(cos(90-63)) meters (about 40 meters)

Posted on Sep 12, 2009

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In any right angled triangle, for any angle:

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How to find the length of a right angled triangle given the two sides remaining one


O^2 + A^2 = H^2 where

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Offset is 8 in run is 6ft 3 3/8in travel is 6ft 3 13/16in. How do I find the degree?


If I understand your terminology correctly, you have a triangle with a hypotenuse of 6' 3-13/16" and a side opposite the angle you wish to find with a length of 8" (and a side adjacent to the angle you wish to find with a length of 6' 3-3/8") Trigonometry says that the sine of an angle is the length of the opposite side divided by the hypotenuse. (all units must be the same, so convert everything to inches)
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How do you use CHASHOTAO to calculate the Hypotinus given the adjasent length and opposite angle


You should be aware that the adjective adjacent has no absolute meaning. It is relative to the angle you are considering.
Let some angle A in a right triangle. Let H be the measure of the hypotenuse. Do not confuse it with some height.
cos(A)=(measure of leg adjacent to A)/H
H= (measure of leg adjacent to A) / cos(A)
However what you call the opposite angle (the other angle I presume), is the complementary of of angle A. Call it angle B
In terms of that second angle
H=(measure of leg adjacent to A)/ sin(B)

What is adjacent to angle A is opposite to the complementary of A.
I think you should work a little more on the meaning of the words adjacent and opposite until you understand that they are relative concepts. They mean nothing until you spell out what angle you are looking at. Without proper understanding of these two concepts you will not be able to use correctly that mnemonic device which you have mangled (BTW)

I do not know it what language you have transcribed the mnemonic , but in English the device is called SOH- CAH-TOA

SOH means: To calculate the Sine of an angle divide the measure of the leg Opposite to the angle by the measure of the Hypotenuse.

CAH means: To calculate the Cosine of an angle divide the measure of the side Adjacent to the angle by the measure of the Hypotenuse.

TOA means: To calculate the Tangent of an angle divide the measure of the side Opposite to the angle by the measure of the side Adjacent to the angle.

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There are several ways of doing this.

Opposite 12 and hypotenuse 13, so the sine of the angle is 12/13. Press 1 2 / 1 3 = 2nd [SIN^-1]

Adjacent 5 and hypotenuse 13, so the cosine of angle is 5/13. Press 5 / 1 3 = 2nd [COS^-1]

Adjacent 5 and opposite 12, so the tangent of the angle is 12/5. Press 1 2 / 5 = 2nd [TAN^-1].

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How to use Texas Instruments TI34II Calculator? Especially I want to now how to use sinus, cosinus, and tangen on it. In Indonesia we call it "sin, cos, tan" Need your help, thanks.


Sinus, cosinus, and tangens (Latin names) are the same as sine, cosine, and tangent (full English names), which are abbreviated to sin, cos, and tan. If you're asking how to use these functions, they deal with right triangles and finding the missing angles or side lengths of the triangle.

Always, sine equals opposite/hypotenuse, cosine equals adjacent/hypotenuse, and tangent equals opposite/adjacent.
king_cole.jpg

Using this picture, the sine of angle A equals a/c, the tangent of angle B equals b/a, and the cosine of angle A equals b/c, and so on.

In a calculator, simply hit the desired function (sin, cos, or tan), then in parenthesis put the measure of the angle, and then use what you know about the triangle to find out the rest.

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The tangent of an angle (in a right triangle) is defined to be the length of the side opposite the angle, divided by the length of the side adjacent to the angle (that is not the hypoteneuse). As the angle approaches 90 degrees, the length of the opposite side gets very large and the length of the adjacent side nears 0. At 90 degrees, the length of the adjacent side is 0, and division by 0 is not defined, so the tangent of 90 degrees is not defined.

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How do i use tan on my calculator


Tangent is a trigonometry term. It is used to find the Opposite/Adjacent ratio when given an angle measure in a right triangle. The proper syntax is tan(angle measure).

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What is the value of SIN15 degree and COS15 degree.....?


Hi rowanwah

The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"

If you want the mathematical description of the sine of an angle it is described as follows
In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle)
The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse

Hope this helps Loringh PS Please leave a rating for me Thanks

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Trigonometry


Hi Jehho soria

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

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