Let's begin by listing out the information given to us:
height (opposite) = 21, breadth (adjacent) = 16, x = ?
We have the length of the side opposite angle x and we have the length of the side adjacent to angle x. This informs us of the trigonometric ratio to us
We will use the trigonometric ratio to calculate for x as shown below:
[tex]\begin{gathered} Tan(x)=\frac{opposite}{adjacent}=\frac{21}{16}=1.3125 \\ Tan(x)=1.3125 \\ x=tan^{-1}(1.3125)=52.69=52.7 \\ \therefore x=52.7^{\circ}NearestTenth) \end{gathered}[/tex]
