Oh, dude, you're talking about trigonometry now! The ratio of the length of the opposite leg to the length of the adjacent leg in a right triangle is called the tangent of the angle. It's calculated by dividing the length of the opposite side by the length of the adjacent side. So, like, if you're trying to find that ratio, just remember to divide and conquer!
Hypotenuse, honey. It's like the diva of right triangles, showing off that ratio with style. So, if you wanna find out how long that leg is compared to the hypotenuse, just call up the sine ratio and let it do its thing.
Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.
In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5
Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle. Thus the ratio of longer_leg : hypotenuse is √3 : 2
If the hypotenuse of a 30-60-90 triangle has a length of 19, the length of the side opposite the 60 degree angle is: 16.45. (the other leg would be 9.5)sine 60 degrees = opposite/hypotenuseOpposite = 19*sine 60 degreesOpposite = 16.45448267 or 16.45 units to two decimal places
Its Tangent, APEX "The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."
This ratio is the tangent of the angle.If the triangle is a right angled triangle and the angle in question is not the right angle, then it is the tangent of the angle in question.
Suppose ABC is a triangle. There is nothing in the question that requires the triangle to be right angled. Suppose AB is the side opposite to angle C and BC is a side adjacent to angle C. Then AB/BC = sin(C)/sin(A)
Sine
sine
This ratio is called the sine ratio for a right triangle. A simple way to remember this is by using the mnemonic 'SOHCAHTOA', where SOH stands for sine equals the ratio opposite side/ hypotenuse, COH is cosine equals adjacent side/hypotenuse, and TOA is tangent equals opposite side/adjacent side.
the opposite
sine
hypotenuse.
The sine.
-6.40 It is the length of the opposite leg divided by the length of the adjacent leg
Think of tangent as sin divided by cos or sin/cos. Now cos 90 degrees is 0 so tan90 would be 1/0 which is not define since you are now allowed to divide by 0. It's best to visualize what Tan(90) means: Take a typical right angle triangle: From the angle in question (A), you have the adjacent leg (The leg extending from angle A to the right angle opposite), the opposite leg (the leg directly opposite the angle A, of course) and the hypotenuse (the leg intersecting the aforementioned two legs) Tan(A) is the ratio of the opposite leg and the adjacent leg. To solve for Tan (A): Tan (A) = opposite/adjacent. As angle (A) increases, the length of the opposite side also increases. So what happens at A=90? Well, you no longer have a triangle! The hypotenuse (the leg that intersects the opposite side from the adjacent side) NEVER INTERSECTS. Therefore, no longer being a triangle, you can no longer define the ratio.