Explanation
Correct answer: C.
Choice C is correct. The sine of an acute angle in a right triangle is the ratio of the length of the side opposite that angle to the length of the hypotenuse. In the right triangle shown, it's given that the length of the side opposite the angle with measure is units and the length of the hypotenuse is units. Therefore, the value of is .
Desmos solution:
Note: The expression 63/73 directly computes the sine ratio, since sin x° = opposite/hypotenuse.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.