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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.
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What is the sine if the opposite is 12 and the hypotenuse is 37?
sin of an angle is = the opposite side divided by the hypotenuse the opposite side divide by the hypotenuse = 12 / 37 = 0.324324 to find the angle take the inverse sine of 12 / 37 sin-1(0.324324) = 0.330297 radians, which is equivalent to 18.9246 degrees
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.
If this is opposite is 30 degree angle in a right triangle is 12.5 meters how long is the hypotenuse rounding to the nearest tenth?
If the angle opposite the side of 12.5 meters is 30 degrees then use the sine ratio to find the hypotenuse which works out as 25.0 meters.
How do you find the sin of a triangle?
Sin is opposite over hypotenuse. Just think of this to help you: SOH-CAH-TOA Sine = opposite over hypotenuse Cosine = adjacent over hypotenuse Tangent = opposite over adjacent Hope that helps you.
How do you find the length of a hypotenuse?
To find the length of a hypotenuse (the side of a triangle opposite to the right angle) you need the two shorter sides lengths which i will call A and B. X2=A2+B2 X2=A+B X2=(A+B) X=Find the square root of (A+B) X=The square root of (A+B)
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 length of a hypotenuse without using the pythagorean theorem?
If you know one side (s) and the opposite angle (a) then the hypotenuse = s/sin a...
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)
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
How do you find the angle of a an right triangle?
The 90 degree angle in a right angle triangle is opposite its hypotenuse.
How do you find perpendicular of right angle triangle?
It is the angle opposite the hypotenuse which measures 90 degrees
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
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...
How do you find sine?
In a right angle triangle divide the opposite by the hypotenuse to find the sine ratio.
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 angle opposite of the hypotenuse of a triangle with all three sides known?
The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.
Where do you find the Hypotnuse?
The hypotenuse is the side opposite the two sides that form a right angle.
