Question

Find the value of x to the nearest degreea. 30b. 60c. 70d. 85

Answer 1

$\tan(\theta) = \dfrac{\text{opp}}{\text{adj}}$

$\tan(x) = \dfrac{\text{19}}{\text{11}}$

$x = \tan^{-1} \bigg(\dfrac{\text{19}}{\text{11}} \bigg)$

$x = 60 \textdegree \text{ (nearest whole number) }$

Answer: Option B

Answer 2

X = arctan(base /  height)

x = arctan(19/11)

x = 59.93

x = 60