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FromTheMoon [43]
3 years ago
12

Solve for x. Round your answer to 2 decimal places. (See image)

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

A. 32.08

Step-by-step explanation:

The figure given is a right triangle. We would apply trigonometric ratios formula to find x.

Reference angle = 58°

Hypotenuse = x

Adjacent length = 17

Thus, we would apply the following:

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Plug in the values

Cos(58) = \frac{17}{x}

Multiply both sides by x

Cos(58) \times x = \frac{17}{x} \times x

Cos(58) \times x = 17

Divide both sides by Cos(58)

\frac{Cos(58) \times x}{Cos(58)} = \frac{17}{Cos(58)}

x = \frac{17}{Cos(58)}

x = 32.08 (2 d.p)

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