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Remember SOHCAHTOA which means, the Sin of an angle is equal to the Opposite side divided by the Hypotenuse, the Cos of an angle is equal to the Adjacent side divided by the hypotenuse, and the Tangent of an angle is equal to the Opposite side divided by the Adjacent side. So as long as you have two sides of a right triangle, then you can find the angles and the length of the third side.

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Q: How do you find the angle adjacent to the hypotenuse?
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What to do when you have the hypotenuse and angle?

For trigonometry if you have the value of the hypotenuse and the angle, it depends what side you are trying to find. If you are looking for the side across from the angle, the formula is sine(angle)=opposite side divided by hypotenuse. If you are looking for the side adjacent to the angle, the formula is cosine(angle)=adjacent side divided by hypotenuse. Hope this helps!


How do you find the hypotenuse with a cosine and or sine?

For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine


To find the cosine of an angle in a right triangle divide the adjacent by the?

hypotenuse.


Can you find the hypotenuse of a right triangle when only one side length is known and all three angles?

Yes. You will need to use trigonometry. sin (angle) = opposite/hypotenuse cos (angle) = adjacent/hypotenuse tan (angle) = opposite/adjacent


How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?

By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)


If you divide length of the adjacent side of an angle in a right triangle by the length of the hypotenuse what value do you get?

Adjacent Side / Hypotenuse = Natural Cosine of the Angle. For example: Adjacent Side=20cm / Hypotenuse=40cm = 0.5 Look up 0.5 in a Natural Cosine table and look back to the degrees on the left margin, you'll find 60... 60 degrees is the angle between the hypotenuse and the adjacent side.


Why Hypotenuse is not called Adjacent?

When considering an angle in a right angled triangle, the adjacent is the short side next to the angle and the hypotenuse is the long one (which will be opposite the right angle)


How do you determine sine in a right triangle?

The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle. Just find opposite/hypotenuse.


How do you find the unknown side of a right triangle given the length of another side and an angle?

opposite/hypotenuse = sin(x) adjacent/hypotenuse = cos(x) opposite/adjacent = tan(x) where 'x' is the angle in question.


The sine ratio of an angle is the opposite side over the adjacent side?

Opposite over hypotenuse. Sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent


How do you calculate the length of the opposite and adjacent sides in a right angle triangle if you know the length of the hypotenuse and the angle between the adjacent and hypotenuse?

the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/hypotenuse..


How do you find an angle of a right triangle when 3 sides are given?

you need a calculator to do Sin-1 Opposite/hypotenuse OR Cos-1 Adjacent/Hypotenuse OR Tan-1 Opposite/Adjacent