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In the triangle below, what is the length of the side opposite the 60° angle?

A. 13
B. 2013
C. 313
D. 6

Answer :

Final answer:

Whilst assuming that the given side is the hypotenuse of a right triangle, the Sine function can be used to calculate the length of the side opposite a 60° angle. However, the final result depends on the length of the side given, which is not provided in the question.

Explanation:

If we are looking at a right triangle, and assuming the side given is the hypotenuse, we can use sine to find the length of the side opposite the 60° angle. The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse. Therefore, we can write this as sin(60°) = x/60 (where 'x' represents the length of the side we are trying to find).

Solving for 'x', we get x = 60 * sin(60°). Evaluating sin(60°) equals to √3/2. Therefore, substituting this in our equation, we get x = 60 * √3/2.

Unfortunately, without the value for the side given in the question, it is impossible to come to a definitive answer from the options provided (A. 13 B. 2013 C. 313 D. 6). The answer would often be 30√3, in a right triangle, when the hypotenuse is 60, given that the angle provided is 60 degrees.

Learn more about Triangle Measurements here:

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