its the cosine.. thanks to the dude up there i got it wrong and that was my answer for 4.1.3.
Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.
Its Tangent, APEX "The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."
Remember the Trig. Functions. Sin(Angle) = opposite / hypotenuse. Hence algebraically rearranging. hypotenuse = opposite / [Sin(angle)) NB You MUST know the length of the 'opposite', and the size of the angle. So if the opposite is of length '2' and the angle is 30 degrees. Then substituting ;= hypotenuse = 2 / Sin(30) From Tables or calculator 'Sin(30) = 1/2 = 0.5' Hence hypotenuse = 2 / (1/2) or 2/(0.5) 2/(1/2) = 4 or 2/0.5 = 4 Hence the hypotenuse is '4' units in length.
1:1 since the two legs are the same size. The ratio between either leg and the hypotenuse is 1:(square root of 2)
2 Square Root 3 And 4
Sine
sine
sine
hypotenuse.
The sine.
Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.
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.
In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2. The short leg, which is opposite the 30-degree angle, is half the length of the hypotenuse. Therefore, the ratio of the short leg to the hypotenuse is 1:2.
Hypotenuse, honey. It's like the diva of right triangles, showing off that ratio with style. So, if you wanna find out how long that leg is compared to the hypotenuse, just call up the sine ratio and let it do its thing.
This ratio is called the sine ratio for a right triangle. A simple way to remember this is by using the mnemonic 'SOHCAHTOA', where SOH stands for sine equals the ratio opposite side/ hypotenuse, COH is cosine equals adjacent side/hypotenuse, and TOA is tangent equals opposite side/adjacent side.
In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5
Its Tangent, APEX "The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."