9514 1404 393
Answer:
A. 15.250
Step-by-step explanation:
The applicable trig function is the cosine function:
Cos = Adjacent/Hypotenuse
cos(57°) = y/28
y = 28×cos(57°) ≈ 15.24989
y ≈ 15.250 . . . . matches choice A
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Additional comment
From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.
