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If the side opposite a 30 degree angle in a right triangle is 12.5 meters how long is the hypotenuse (Round the answer to the nearest tenth)?
In a right triangle with a 30-degree angle, the length of the side opposite the angle is half the length of the hypotenuse. Therefore, if the side opposite the 30-degree angle is 12.5 meters, the hypotenuse would be 12.5 meters × 2, which equals 25 meters. Rounding to the nearest tenth, the hypotenuse is 25.0 meters.
Why the sine 30 is 0.5?
The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. For a 30-degree angle, if you consider a right triangle where the hypotenuse is 1 unit long, the opposite side is 0.5 units long (this is derived from the properties of a 30-60-90 triangle). Therefore, sine of 30 degrees, which is the opposite side (0.5) divided by the hypotenuse (1), equals 0.5.
What is the length of the longer leg and hypotenuse of a 30-60-90 triangle with the shorter leg of length 12?
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. If the shorter leg (opposite the 30-degree angle) is 12, then the longer leg (opposite the 60-degree angle) is (12\sqrt{3}), which is approximately 20.78. The hypotenuse, opposite the 90-degree angle, is twice the length of the shorter leg, so it is 24.
Where can you find the hypotenuse of a right triangle?
the hypotenuse is the side of the right triangle that is opposite of the 90 degree angle. To figure out the length of the hypotenuse you can use a2 + b2 = c2 (if you know the length of the other two sides) If you don't that you can probably use the sine or the cosine equation. (as long as you know at least one of the angles)
In the 30-60-90 triangle below side s has a length of and side q has a length of .?
In a 30-60-90 triangle, the sides are in a specific ratio: the length of the side opposite the 30-degree angle (let's call it ( s )) is half the length of the hypotenuse, while the side opposite the 60-degree angle (let's call it ( q )) is ( s \sqrt{3} ). If ( s ) has a given length, then the hypotenuse will be ( 2s ), and the length of ( q ) can be calculated as ( q = s \sqrt{3} ). Therefore, knowing the length of ( s ) allows you to find both the hypotenuse and the length of ( q ).
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 the side opposite a 30 degree angle in a right triangle is 12.5 meters how long is the hypotenuse (Round the answer to the nearest tenth)?
In a right triangle with a 30-degree angle, the length of the side opposite the angle is half the length of the hypotenuse. Therefore, if the side opposite the 30-degree angle is 12.5 meters, the hypotenuse would be 12.5 meters × 2, which equals 25 meters. Rounding to the nearest tenth, the hypotenuse is 25.0 meters.
If the shortest leg of a 30 degree 60 degree 90 degree triangle has length 7 the length of the hypotenuse is?
In general call the shortest side a and remember this is always the side opposite the 30 degree angle. Then the other leg/side has length a(square root 3) and the hypotenuse has length 2a.So in the case of a=7, the hypotenuse has length 14.
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
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.
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
Why the sine 30 is 0.5?
The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. For a 30-degree angle, if you consider a right triangle where the hypotenuse is 1 unit long, the opposite side is 0.5 units long (this is derived from the properties of a 30-60-90 triangle). Therefore, sine of 30 degrees, which is the opposite side (0.5) divided by the hypotenuse (1), equals 0.5.
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
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.
Where can you find the hypotenuse of a right triangle?
the hypotenuse is the side of the right triangle that is opposite of the 90 degree angle. To figure out the length of the hypotenuse you can use a2 + b2 = c2 (if you know the length of the other two sides) If you don't that you can probably use the sine or the cosine equation. (as long as you know at least one of the angles)
What is the length of the side opposite the 30 degree?
It's 1/2 of the length of the hypotenuse.
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.
