Question

Use Trig Ratios to find the missing angle. Show all of your work. Round your answer to the nearest degree.

Answer 1

As per given by the question,

There are given that a right angle triangle ABC.

And,

AB=8, AC=13.

Then,

For finding the value of x, here uses trigonometry ratio,

So,

`\begin{gathered} \cos x=(AB)/(AC) \\ \cos x=(8)/(13) \\ x=\cos ^(-1)((8)/(13)) \end{gathered}`

Now,

`\begin{gathered} x=\cos ^(-1)((8)/(13)) \\ x=51.68^(\circ) \end{gathered}`

Hence, the value of x is 51.68 degree.