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What name is given to the ratio of the length of the side opposite 30 degree to the length of hypotenuse?
Wiki User
∙ 12y ago
There is no particular name for the trigonometric ratio which depends on the measure of a specific angle.
Wiki User
∙ 12y ago
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What are facts about right triangles?
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
What are difference between the sides of a right angle?
The side of a triangle that is opposite to 90 degree angle is called hypotenuse. The side that is opposite to the given angle (The angle that is under calculations) is called opposite. The side that is adjacent with the given angle is called base.
What is the relationship among a right triangle?
There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).
If side a equals 76.4 ft and side b equals 39.3 ft what is the measure of angle A?
I will assume that this is a right triangle and neither side length is the hypotenuse. In the case that this is a right triangle and neither side length given is for the hypotenuse, you would use tangent to solve for your angle measure. tan(Q) = the length of the side opposite of Q/the length of the side adjacent to Q. So for this answer: **NOTE: Side a is traditionally the side opposite to angle A.** tan(A) = a/b *where b is not the hypotenuse => tan(A) = 76.4/39.3 tan(A) = 1.94402... A = arctan(1.94402...) *arctan is the same thing as inverse tangent or tan^(-1) A ~= 62.78 Degrees * ~= means approximately. ***Extra stuff: tan = opposite/adjacent sin = opposite/hypotenuse cos = adjacent/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
What are facts about right triangles?
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
For a given angle the length of the side opposite the angle divided by the hypotenuse is called the?
Sine.
How do you find the hypotenuse of a right triangle when only a side length and angle is given?
Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ). Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then: Hypotenuse = Adjacent/Cosine(Θ)
How do you find the hypotenuse with only a leg and a degree?
If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the 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.
What are difference between the sides of a right angle?
The side of a triangle that is opposite to 90 degree angle is called hypotenuse. The side that is opposite to the given angle (The angle that is under calculations) is called opposite. The side that is adjacent with the given angle is called base.
What is the relationship among a right triangle?
There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).
How do you find the hypotenuse when only one length is given?
If the only information you have is the length of one side of a triangle, there are an infinite number of triangles having that length. Since the hypotenuse is defined to be "The side opposite the right angle in a plane right triangle", you will need the length of the other side to find the hypotenuse using the Pythagorean theorem. Alternatively you need to know the other angles. Then you can use the appropriate trig function to find the length of the hypotenuse.
If a right triangle has 60 degree angle and a length of 8 meters how do you find the hypotenuse?
As the relationship between the length and angle given are unclear a graphic explanation can be found at the link below
How do you find the length of the hypotenuse?
In a right-angled triangle, the hypotenuse is the longest side, opposite the right-angle. There are two ways of finding the length of the hypotenuse using mathematics: Pythagoras' theorem or trigonometry, but for both you need either two other lengths or an angle. For Pythagoras' theorem, you need the other two lengths. The theorem is a2+b2=c2, or the square root of the sum of two angles squared, where c=the hypotenuse. Let's say that one length is 4.8cm and the other 4cm. 4.82+42=6.22. So, the answer is 6.2cm. If you have one side and one angle, use trigonometry. You will need a calculator for this. Each side of the right-angled triangle has a name corresponding to the positioning of the angle given. The opposite is the side opposite the given angle, the adjacent is the side with the right-angle and the given angle on it, and the hypotenuse is the longest side or the side opposite the right-angle. There are three formulas in trigonometry: sin, cos and tan. Sin is the opposite/hypotenuse; cos is the adjacent/hypotenuse; and tan is the opposite/adjacent. As we are trying to find the hypotenuse, we already have either the opposite or the adjacent, and one angle. Let's say that our angle is 50o and we have the adjacent side, and that is 4cm. So, we have the adjacent and want to know the hypotenuse. The formula with both the adjacent and the hypotenuse in is cos. So, Cos(50o)=4/x where x=hypotenuse. We can single out the x by swapping it with the Cos(50o), so x=4/Cos(50o) -> x=6.22289530744164. This is the length of the hypotenuse, and is more accurate that Pythagoras' theorem.
How do you determine which is the adjacent side of a right triangle?
There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).
If side a equals 76.4 ft and side b equals 39.3 ft what is the measure of angle A?
I will assume that this is a right triangle and neither side length is the hypotenuse. In the case that this is a right triangle and neither side length given is for the hypotenuse, you would use tangent to solve for your angle measure. tan(Q) = the length of the side opposite of Q/the length of the side adjacent to Q. So for this answer: **NOTE: Side a is traditionally the side opposite to angle A.** tan(A) = a/b *where b is not the hypotenuse => tan(A) = 76.4/39.3 tan(A) = 1.94402... A = arctan(1.94402...) *arctan is the same thing as inverse tangent or tan^(-1) A ~= 62.78 Degrees * ~= means approximately. ***Extra stuff: tan = opposite/adjacent sin = opposite/hypotenuse cos = adjacent/hypotenuse
