anaslion111 anaslion111
  • 20-05-2020
  • Mathematics
contestada

The tangent of angle X is 2.246.
Work out the size of angle X.
Give your answer to the nearest degree.
____ °

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DeanR
DeanR DeanR
  • 20-05-2020

Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

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