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Which equation can be used to find the value of x in the triangle?

A. x =29.2 sin(329)
B. x= = 29.2 sin(58)
C. x=29.2 cos(32)
D. x= 29.2 cos(58)

1 Answer

2 votes

Final answer:

To select the correct equation to find the value of x in a triangle, we must use the sine function for opposite sides and the cosine function for adjacent sides relative to the given angle. The specific angle in degrees should replace the variable in the trigonometric function.

Step-by-step explanation:

To find the value of x in the triangle, we can use trigonometric ratios such as sine and cosine. The correct equation will depend on the angle provided and whether x represents a side adjacent or opposite to the angle within a right-angled triangle. Without a diagram, we cannot determine which equation is correct; however, if we know the angle and the side x corresponds to, we use the sine function for opposite sides and the cosine function for adjacent sides relative to the angle.

For example, if angle α is given and x is opposite to angle α, we would use x = 29.2 * sin(α). Conversely, if x is adjacent to angle α, we would use x = 29.2 * cos(α). The specific angle in degrees should be substituted for α in the respective formula.

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