Question

Fill in the blank. In the triangle below,X = _Round your answer to two decimal places. 42° V Answer here

Answer 1

By definition:

$\tan (angle)=\frac{\text{opposite}}{\text{adjacent}}$

Applying this definition to the triangle in the picture:

$\tan (42^o)=\frac{x}{35}$

Solving for x:

$\begin{gathered} \tan (42^o)\cdot35=x \\ 31.51=x \end{gathered}$