If cos (theta) = x and sin 60

^{o}= x + 0.5 0^{o}o, find, correct to the nearest degree, the value of (theta)**A.**

32^{o}**B.**

40^{o}**C.**

60^{o}**D.**

69^{o}

##### 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)