Anticlockwise angle?

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1 Answer
Mar 6, 2018

#284^o # to the nearest degree.

Explanation:

https://www.wolframalpha.com/input/?i=i-4j

If we denote the clockwise angle by #theta#, then by elementary trigonometry we have:

# tan theta = "opp"/"adj" = 4/1 #

From which we get:

# theta = arctan 4 = 75.9637 ... ^o#

And so the anti-clockwise angle sought is given by:

# 360^o - theta = 284.0362 ... ^o #

Or, #284^o # to the nearest degree.