Find the value of (theta) in the diagram

Find the value of (theta) in the diagram
  • A.
    60o
  • B.
    100o
  • C.
    120o
  • D.
    30o
Correct Answer: Option C
Explanation

Using cosine formula (t(sqrt{3}))2 = t2 + t2 – 2t2 cos(theta)
3t2 = 2t2 – 2t2 cos(theta) = 2t2(1 – cos(theta))
1 – cos(theta) = (frac{3t^2}{2t^2}) = (frac{3}{2})
cos = 1 – (frac{3}{2} = -frac{1}{2})
(theta) = cos-1(-(frac{1}{2})) = 120o and 240o
N.B 0 (geq) (theta) 360

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