Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
