Trig Question

So my trig abilities are not the greatest. If I had a diameter of 58.044" and an angle of 25.714 degrees if I want to know the distance from the center of the diameter intersected with the angle is there an online calculator I can use to get the answer?

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VinniUSMC over 7 years ago

26.14798 or 12.59204 if I got the picture right. Either the opposite or the adjacent of a 29.022 hypotenuse.

TK

Elaborating on this:

Every point on a circle can be described by the following coordinate: (r*cos(a), r*sin(a)), assuming you are moving counter-clockwise from X+ (which points right) and the circle is centered on (0,0), where r is the radius of the circle.

So, for a 25.714 degree angle;

The X coordinate is: 29.022*cos(25.714)= 26.148.

The Y coordinate is: 29.022*sin(25.714)= 12.592.

You can also remember SOH, CAH, TOA, which means: Sin Opposite/Hypotenuse, Cosine Adjacent/Hypotenuse, Tangent Opposite/Adjacent.

So, to find the opposite leg of a triangle (the one opposite the angle in question)

Sin(angle)= opposite/hypotenuse ****Multiply both sides by the hypotenuse to solve for the opposite.

Hypotenuse*sin(angle)=opposite

Hypotenuse*cos(angle)=adjacent
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acgarcia over 7 years ago in reply to VinniUSMC

Thanks for the explanation!
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acgarcia over 7 years ago in reply to VinniUSMC

Thanks for the explanation!
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