What is the value of sin θ in the diagram below?
A. 7/25
B. 7/24
C. 24/25
D. 24/7

That's an angle in standard position terminating on the unit circle so we read off the y coordinate as the sine, 24/25, choice C.
The value of sin θ in the given diagram that has a perpendicular distance y and the hypotenuse (r) is 24/25.
The sine of an angle in a given right-angled triangle is the ratio of its perpendicular side to the hypotenuse.
Sin [tex]\rm \theta[/tex] = perpendicular/ hypotenuse.
In the given diagram, the y-axis represents the perpendicular distance and r is the hypotenuse. So
Sin [tex]\rm \theta[/tex] = Y / r
Sin [tex]\rm \theta[/tex] = 24/25 / 1
Sin [tex]\rm \theta[/tex] = 24/25
Thus, The correct answer is C.
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