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Use trigonometry and the cosine ratio:
cos = adj/hyp and when rearraged hyp = adj/cos
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To find the cosine of an angle in a right triangle divide the adjacent by the?
hypotenuse.
How do you find the angle adjacent to the hypotenuse?
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.
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
Can you find the 2 sides of a triangle if you only know the length of the hypotenuse and the angle between the hypotenuse and the base line?
Yes. If c is the length of the hypotenuse, and alpha is the angle between the hypotenuse and the base. If we say a is the length of the side opposite angle alpha and b is the length of the adjacent side, then the lengths a and b are as follows: a=h*sin(alpha) b=h*cos(alpha)
How do you find the hypotenuse if you know one leg and one angle?
You need a bit more information to solve that one, because it's not clear whether the angle is opposite the leg you know or adjacent to it. If the angle is adjacent to the known leg, then divide the length of the leg by the cosine of the angle. If the angle is opposite the known leg, then divide its length by the sine of the angle.
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)
Find hypotenuse only using opposite and angle?
In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.
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 angle adjacent to the hypotenuse?
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.
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.
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.
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
Is theta similar to 'x'?
it depends...theta:theta is usually the letter given to any angle in the triangle (the letter theta is from the greek alphabet). usually in trigonometry you would use it when using SOHCAHTOA (sin=opposite/hypotenuse; cos=adjacent/hypotenuse; tan=opposite/adjacent) e.g. the sun is at an angle of 30°. if the shadow's length is 40m, find the length of the flagpole.tan30=h/40tanθ=opp/adj40xtan30=hh=23.09m-'opposite' (opp)is the opposite side from the angle you are trying to find out-'adjacent' (adj)is the side next to the angle you are trying to find out-'hypotenuse' (hyp)is also next to the angle you are trying to find out, but it is also opposite the right angle and it is the longest sidex:'x' is usually used to represent a length (either the base, height or hypotenuse). using SOHCAHTOA it would be either the opposite, adjacent or hypotenuse. using the example above x could substitute hthe difference is that theta is used for the angles and x is for the other measurements(length or distance). i don't think that there similar but thats just me...
