Solve for x. Round to the nearest tenth of a degree, if necessary.

Deafjeff asked Jun 25, 2023

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16 votes

Deafjeff asked Jun 25, 2023

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14 votes

Answer:

$51.4^(\circ)$

Explanation:

Since this is a right triangle, the cosine formula says

$\cos(x) = (5.3)/(8.5)$

$\longrightarrow cos(x) = 0.6235$

$So\\\\x = \cos^(-1)(0.6235) = 51.4256^(\circ)$

Rounded to the nearest tenth this would be

$51.4^(\circ)$

Arturs answered Jun 30, 2023

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