Try this explanation:
according to the properties of such angles, m∠DGF=~DF=74° and m∠DEF=0.5* m(~DF)=37°
answer: C
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Both refer to the inverse sine function.
The inverse sine (or arcsine) of x:

where x is a real number in the domain of the function:

and the arcsine function returns an angle in the interval
![\mathsf{\left[-\,\frac{\pi}{2},\,\frac{\pi}{2}\right]:}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5B-%5C%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%5C%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cright%5D%3A%7D)

So if you see anywhere one of these expressions below

then you should look for an angle

that satisfies the following conditions:

This angle

is called the inverse sine of the real number x.
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Pay attention and do not mistake the arcsine function for the reciprocal of sine (which is cosecant); especially if you prefer or see that notation with an superscript -1. This one can be easily mistaken for an exponent:

but the reciprocal is something like
![\mathsf{\big[sin(x)\big]^{-1}=\dfrac{1}{sin\,(x)}=csc(x)\qquad\quad(!!)}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cbig%5Bsin%28x%29%5Cbig%5D%5E%7B-1%7D%3D%5Cdfrac%7B1%7D%7Bsin%5C%2C%28x%29%7D%3Dcsc%28x%29%5Cqquad%5Cquad%28%21%21%29%7D)
and this last one has a total different meaning.
I hope this helps. =)
Hence It will take 12.88 years for the account value to reach 17600 dollars.
Well where is the functions?
Remark
At first glance, one would think this problem isn't possible. But if you use the magnifying glass, you see that it is.
Solve
25 carrots puts you somewhere to the left of the shaded area, so C and D are both wrong.
That leaves you with A or B. You need 30 carrots (or just very slightly less) at least to solve this problem. The way to distinguish between A and B is to look at the line that goes from lower right to upper left. When you magnify this graph, you see that at 30 carrots the line or boundary goes through 20 cucumbers. 21 is just very slightly above that and 25 is far above the other line. 21 cucumbers is the only possible right answer for the number of cucumbers. 25 is too high. B is wrong. The answer is A.