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The hypotenuse of a 30 60 90 triangle has a length of 17 What is the length of the side opposite the 60 angle?
I know that the side lengths of a 30 60 90 triangle have a relationship. Opposite from the 30 degree angle is the smallest side of the triangle, since a small angle can only hold a small side. Opposite from the 90 degree angle is the longest side since 90 is the largest of the angles. This side is also called the hyponteneuse. Across from the 60 degree angle, the medium-sized angle, is the medium side.
The relationship between the sides of this special right triangle is
short side = x
big side or hypoteneuse = 2x (in other words, twice as long as the short side)
medium side = x times the square root of 3 (or about 1.7 times as long as the short side)
So if the hypoteneuse is 17 units long, the short side is half as long or 8.5 units. The medium side is 8.5 x sqrt3 or about 14.72 units long.
What else can I help you with?
In a right triangle the sine of any angle is?
The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.
The hypotenuse of a 30- 60- 90 triangle has length 15 What is the length of the side opposite the 60 angle?
12.99
Why is the sine of 90 degrees equal to 1?
Sine = Opposite divided by Hypotenuse Opposite is the side of the triangle opposite the angle (in this case the 90o angle). Hypotenuse is the side opposite the right angle in a right angle triangle. Therefore, Sine 90 = 1 because the opposite side and the hypotenuse are the same side, they are both opposite the right angle.
What is the size of a right triangle opposite the right angle?
The side opposite the right angle is the hypotenuse.
The hypotenuse of a 30-60-90 triangle has length 19 What is the length of the side opposite the 60 angle?
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
Is it true the sine ratio relates the length of the leg the angle that is in question to the length of the hypotenuse?
Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.
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
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 ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
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 sine of any angle is?
The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.
In a right triangle, the is opposite the right angle?
The side opposite the right angle of a right angle triangle is the hypotenuse
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
What can you say about the sides of a triangle opposite the largest angle?
The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.
If a right triangle is 12.5 meters and the side opposite a 30 angle. how long is the hypotenuse?
If a right triangle is 12.5 meters and the side opposite a 30 angle, the hypotenuse length will be: 14.43 meters.
The hypotenuse of a right triangle is a side opposite the?
The hypotenuse of a right (angled) triangle is the side opposite the right (90 degree) angle. The hypotenuse is also the longest side.The hypotenuse of a right triangle is the side opposite theThe sine of an angle is the side opposite over the hypotenuse of the triangle.
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)
