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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
The hypotenuse of a 30- 60- 90 triangle has length 15 What is the length of the side opposite the 60 angle?
12.99
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 2 missing sides of a right triangle?
Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.
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.
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.
What is the degrees and the hypotenues to a right triangle in trigonometry when the opposite is 14 and the adjacent is 20?
The length of the hypotenuse would be approximately 24.41 and the angle, theta, would be approximately 35.
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
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
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 angle if sin equals 0.99?
If the sine of an angle is 0.99, then the angle is approximately 84.3 degrees. This is because the sine function gives the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. In this case, the opposite side is much longer than the hypotenuse, indicating a steep angle close to 90 degrees.
What is the length of the opposite side of a right triangle that has an angle of 35 degrees and a hypotenuse of 20?
The side opposite the 35° angle is [ 20 sin(35) ] = 11.472 (rounded)
What ratio of the opposite leg length to the hypotenuse length?
its the cosine.. thanks to the dude up there i got it wrong and that was my answer for 4.1.3.
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.
