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For a given angle the length of the side opposite the angle divided by the hypotenuse is called the?
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∙ 12y ago
Sine.
Wiki User
∙ 12y ago
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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.
In a right triangle the ratio of the length of the side opposite an acute angle to the length of the hypotenuse?
sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse
What is the ratio of the length of the opposite leg to the length of the hypotenuse?
sine
Fill in the blank If the shortest leg of a 30-60-90 triangle has length 11 the length of the hypotenuse is?
22, The shortest side is opposite the smallest angle. As it is a right angle triangle, the Sine ratio can be used: Sine = opposite/hypotenuse ⇒ hypotenuse = opposite/sine = 11/sine 30o = 11 ÷ 1/2 = 22
A 30-60-90 triangle has a hypotenuse of length 44. What is the length of the side opposite the 30 degree angle?
I assume your 90 degree angle is on the right and the 30 degree angle is opposite that. ( degree mode ) sin theta = opposite/hypotenuse sin 30 degrees = opp./44 = 22
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.
How is sine calculated?
If you have an angle then the length of the side OPPOSITE that angle divided by the length of the HYPOTENUSE. (O/H) (HYPOTENUSE is the side opposite the 90 degree angle) or (y/x) and a lot of other cool ways.
In a right triangle the ratio of the length of the side opposite an acute angle to the length of the hypotenuse?
sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse
What is the ratio of the length of the opposite leg to the length of the hypotenuse?
sine
Is a ratio of the length of the opposite leg to the length of the hypotenuse?
Sine
How do I find the length of the hypotenuse with one leg equalling 12 and the opposite angle being 30 degrees?
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.
What is the relationship between the length of the legs of a 30-60-90 triangle?
-- The side opposite the 90° angle, known as the hypotenuse, is the longest of the three sides. The other two sides are called the "legs". -- The length of the leg opposite the 30° angle is 1/2 of the hypotenuse. -- The length of the leg opposite the 60° angle is 1/2 of the hypotenuse times sqrt(3). -- The sum of the squares of the lengths of the legs is the square of the length of 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.
If you divide length of the opposite side of an angle in a right triangle by the length of the hypotenuse what value do you get?
You get the sine of the angle. For a right triangle: sin (x) = opposite/hypotenuse cos (x) = adj./hypotenuse tan (x) = opposite/adj
What is the definition of secant-tangent angle?
The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. The tangent angle of a right triangle is the length of the opposite side divided by the length of the adjacent side.
Is the side of a triangle with the greatest length opposite the right angle?
Yes. This side would be called the hypotenuse.
A wire from a post touches the ground at a point 6.3 meters from the post and if the the post and a wire form an angle of depression of 64 degrees so what is the length of the wire?
We need to use a little trigonometry to answere this. The sine of an angle in a right angled triangle is given by sine = opposite divided by hyponenuse that is the length of the side opposite the given angle divided by the length of the hypotenuse (or longest side). From that we can obtain that the length of the hypotenuse = opposite divided by sine. The sine is found by using a set of trigonometric tables or a scientific calculator (the majority of computers have a scientific calculator). The sine of 64 degrees is 0.89879, therefore the length of the wire (the hypotenuse) is 6.3 divided by 0.89879 which equals 7.009 metres.
