Hi there!
[tex] \large{tan35\degree = \frac{x}{16} }[/tex]
We can also use the other angle but I will focus on 35°.
The reason why we use the equation above because tan is equivalent to opposite/adjacent
From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.
Define theta = 35°. Thus, the equation would be tan35° = x/16.
Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)
[tex] \large{0.7 = \frac{x}{16} }[/tex]
Then solve the equation for x-term.
[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]
Hence, the value of x is 11.2
Answer
Questions about the problem be asked through comment.
Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.
Hope this helps, and Happy Learning! :)
