Question

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Answer 1

`\large \text{Second Choice: $(a)/(c)$}`

Explanation:

For any given triangle, the Law Of Sines states that the ratio of each side to the sine of the angle opposite that side is the same

So we have

`(a)/(\sin \angle F) = (c)/(\sin \angle 90) = (b)/(\sin \angle G) \\\\`

`\sin \angle 90 = 1`

So we get from the first two ratio equality,

`(a)/(\sin \angle F) = (c)/(1) \\\\\\(a)/(\sin \angle F) = c\\\\\\(a)/(c) = sin \angle F\\\\`

Or, in other words,

`\sin \angle F = (a)/(c)`

Answer 2

a/c

Explanation:

Sine is always the side opposite the angle and the hypotenuse