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?

1 Answer
Nghi N
Feb 26, 2017

#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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