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Calculate angle when 3 side measurements are known

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Posted on Apr 25, 2017

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An angle measures 124 more than the measure of a supplementary angle. What is the measure of each angle?


There are many solutiions; an infinte number of them if you allow fractional degrees. Sticking with integers, some of the solutions are:
1 54 125
2 52 126
3 50 127
4 48 128

You should be able to discern the pattern.

Nov 16, 2016 | Office Equipment & Supplies

1 Answer

One angle of a triangle measures 70. The other two angles are in a ratio of 3:8. What are the measures of those two angles


Karla, why are you expecting us to do your homework for you ? If you don't do it yourself, you'll never learn. Fixya is to assist people with genuine queries, not do homework for those too lazy to work things out for themselves.

Nov 15, 2016 | Office Equipment & Supplies

1 Answer

An angle measures 124 more than the measure of a supplementary angle. What is the measure of each angle?


I find doodling a sketch helps with questions like this.
Let x be in this case the supplementary angle.
Supplementary angles add up to 180 degrees.
Thus,

180 = x + (x+124)
180 = 2x + 124
180 - 124 = 2x + 124 -124 (subtract 124 from both sides)
56 = 2x (divide both side by 2 to isolate x)
56/2 = x
28 = x

Other angle is 28 + 124 or 152.

Check 152 + 28 = 180!

We did it correctly!

Good luck,

Paul

Nov 15, 2016 | Office Equipment & Supplies

1 Answer

Texas instruments manuals


It means your calculator is currently set to measure angles in degrees.

There are three common units to measure angles. A full circle is 360 degrees, or 400 grads, or two pi radians. The results of the trigonometric functions depend on the current measure, just as you'd get different numbers if you measure a person's height in inches, feet, or meters.

Jul 15, 2014 | Texas Instruments TI 30XIIS Scientific...

1 Answer

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.

Dec 10, 2013 | Computers & Internet

1 Answer

Calculate hypotenuse


in building terms there is the 3, 4, 5 rule, which allows you to determine a perfect right angle. This is from the Pythagoras theorem which says - the square on the hypotenuse equals the sum of the squares on the other two sides.... so to calculate the hypotenuse we square 3 and 4 to get 9 and 16 respectively. Adding these give 25. Getting the square root of 25 gives 5 which is the dimension of the hypotenuse...
Any combination of 3/4/5 works - so 6/8/10 is also valid.
Hope this helps.

Oct 22, 2013 | Measuring Tools & Sensors

1 Answer

How do i get my calculator to do the trig problem Tan45=1? It is telling me Tan45=1.61977, and i know that isn't right.


Angles may be measured in three angles:degree, radian and gradians (grads).
tan(45 deg)=1
tan(45 radians)=1.61977
If your problems require angles to be measured in degrees, make sure that the calculator's angle unit is set to degrees.
In RUN screen press [SHIFT][MENU] (SetUp) select the angle line and press function key under the tab Deg (should be F1).

Sep 17, 2013 | Casio FX-9860G Graphic Calculator

1 Answer

How to calculate the sides of a hexagon?


Well it depends. If the hexagon is irregular (sides are not equal) there is no formula to calculate the sides as they can have arbitrary values. You must measure them.
If the hexagon is regular you may be able to relate the measure of a side to the radius of the circle in which it is inscribed. If you have the radius of the circle, the side is equal to the radius. If you have the value of perimeter you divide that value by 6.
There is also a formula that relates the area of the hexagon to the measure of the side s. The formula is Area=(6/4)(s^2)cot(PI/6), where cot is the cotangent function, its angle is in radian. In degrees Pi/6 is 30 degrees.

Dec 31, 2011 | Office Equipment & Supplies

1 Answer

How to find the length ot the arc ,a circle has a radius of 45cm.


You can not do it unless you know the measure of the central angle sustending (supporting) the arc. If the angle is known, you use the proportionality relation that follows:
If angle is in degrees
(length of arc) / circumference=(measure of central angle sustending arc)/360.
Here the circumference is 2*PI*radius.

If angle is in radians , the relation is somewhat simpler,
arc length= (radius length)* (angle measure in radians)
It is clear that in the last relation, the unit for the arc length is the same as the unit for the radius.

Jul 15, 2011 | Casio FX-300MS Calculator

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