Given point (-8,-12) how do you find the distance of the point from the origin, then find the measure of the angle in standard position whose terminal side contains the point?

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Given point (-8,-12) how do you find the distance of the point from the origin, then find the measure of the angle in standard position whose terminal side contains the point?

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Answer 1 · 2017-02-26T01:35:56

$236^@31$

Explanation:

Distance from point M to origin O
$OM = sqrt(8^2 + 12^2) = sqrt208 = 14.42$
Call t the angle:
$tan t = (-12)/-8 = 3/2$
Calculator and unit circle give -->
$tan t = 3/2$ --> $t = 56^@31$ and
$t = 180 + 56.31 = 236^@31$

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Given point (-8,-12) how do you find the distance of the point from the origin, then find the measure of the angle in standard position whose terminal side contains the point?

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