Question

Solve the missing angles by using trig function Answer Choices: A. 57.4B. 53.1

Answer 1

We can relate an angle x to its opposite leg and its adjacent leg, by means of the trigonometric function tangent of x, like this:

`\tan (x)=\frac{\text{opposite}}{\text{adjacent}}`

Then we can find the value of the angle by applying the inverse function of tangent, like this:

`x=\tan ^(-1)((opposite)/(adjacent))`

Let's replace the values from the figure into this equation to find x, like this:

`\begin{gathered} x=\tan ^(-1)((25)/(16)) \\ x\approx57.4 \end{gathered}`

Then, x equals 57.4°