If the angle opposite the side of 12.5 meters is 30 degrees then use the sine ratio to find the hypotenuse which works out as 25.0 meters.
The answer rounded to the nearest tenth is 25 meters.
6.6 cm
I cannot answer this without knowing any more information. Finding the proper dimensions of a triangle without knowing the kind of triangle cannot really be done. Because it may be an isosceles triangle (every angle is equal) or it could be a 30-60-90 triangle etc.
Without seeing the diagram your question (as originally written) was incomplete and impossible to answer. If you had described your question (by rewriting it as I did) instead of blindly copying it, then the Answers community would have had all the necessary information to be able to answer your question and you would have got your homework done for you quicker. In fact, in rewriting the question you may actually have realised what was needed to be calculated and done it yourself - a very useful skill in being able to extract the required mathematics from the given information. Anyway, what is now obvious from the rewritten question is you have is the cosine ratio: cosine = adjacent/hypotenuse → cos F = FE / DF → DF = FE / cos F As you didn't bother to give us the required information, I can't be bothered to fill in the numbers and calculate the required value - you can do that. ----------------------------------------------------------------------------- What I was taught at pre-secondary school (some 40 odd years ago) to help remember the different trigonometric ratios: In a right angle triangle there are three sides to an angle: Opposite - the side opposite the angle Adjacent - the side adjacent to the angle which is not the hypotenuse. Hypotenuse - the side opposite the right angle There are three ratios: Tangent = Opposite / Adjacent Sine = Opposite / Hypotenuse Cosine = Adjacent / Hypotenuse To remember them, use this nonsense rhyme: Two Old Arabs Soft Of Heart Coshed Andy Hatchett The initial letter of each word in each line gives the ratio: Two Old Arabs → T = O / A → Tan = Opp / Adj Soft Of Heart → S = O / H → Sin = Opp / Hyp Coshed Andy Hatchett → C = A / H → Cos = Adj / Hyp
when rounding to the nearest whole number 0.49 ~ 0 as anything lower than .5 you round down to the nearest whole number anything that is .5 or over you round up. if you'd asked about 0.50, then the nearest whole number is 1
The answer rounded to the nearest tenth is 25 meters.
0.33
If you mean an angle of 30 degrees then the hypotenuse is 12.5/sin(30) = 25.0 meters
In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.
The hypotenuse measures 11.4 meters in length.
The value of sin A is 5.82 and the actual angle is 19.47 degees
Sine = Opposite / Hypotenuse = 30 / 90 = 1/3 ~= 0.33 To remember the ratios, I was taught 2 mnemonics: Each letter of SOHCAHTOA represents a ratio: Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse Tan = Opposite / Adjacent Prior to secondary school where I was taught that, I was taught this rhyme, which I much prefer: Two Old Arabs Soft Of Heart Coshed Andy Hatchett Again, each initial letter shows the ratios. Tan = Opposite / Adjacent Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse
Using Pythagoras' theorem the length of the hypotenuse is 17.1 inches
If both legs of a right triangle are the same, then it forms what is known as a "45-45-90 triangle". In this type of triangle, the hypotenuse is always √2 times more than the legs. So in this problem, with legs 3cm and 3cm, the hypotenuse is 3√2cm, or 4.243cm
-- If rounding to the nearest 300, then 749 is. -- If rounding to the nearest 200, then 699 is. -- If rounding to the nearest 150, then 674 is. -- If rounding to the nearest hundred, then 649 is. -- If rounding to the nearest twenty, then 609 is. -- If rounding to the nearest ten, then 604 is.
9.0
In whole numbers, rounding to the nearest ten is better. And in decimals, rounding to the nearest hundreth is more accurate.