Find, correct to the nearest degree, the value of (theta)

If cos (theta) = x and sin 60^o = x + 0.5 0^oo, find, correct to the nearest degree, the value of (theta)

Correct Answer: Option D

Explanation

sin 60^o = x + 0.5 0^o(given)
0.8660 = x + 0.5
0.8660 – 0.5 = x
x = 0.3660
cos(theta) = x(given)
cos(theta) = 0.3660
Hence, (theta) = cos^-1(0.3660)
= 68.53^o
= 69^o (nearest degree)