Solve the following problem for the angle x?

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Answer 1 · 2018-04-20T15:33:53

$x=8.91^@$
or
$x=.155$ Radians

To find this angle, you use the two sides you are given, 165 and 1053.

Look at where the angle x is. The two given lengths are opposite and adjacent sides.

Using the SOH CAH TOA Rule, you can see that the two sides fit in with the Tangent function.

$tanx=165/1053$

Recall that here you must use the $arctan$ function.

$x=arctan(165/1053)$

This gives

$x=8.91^@$
or
$x=.155$ Radians