Question

Hi I’m not sure about this question from my assignment, please help and thank you

Answer 1

Given the Right Triangle, you can find the missing angle "x" using this Inverse Trigonometric Function:

`\beta=\sin ^(-1)((opposite)/(hypotenuse))`

In this case, you can identify that:

`\begin{gathered} \beta=x \\ opposite=66 \\ hypotenuse=79 \end{gathered}`

Therefore, substituting values into the formula and evaluating, you get:

`\begin{gathered} x=\sin ^(-1)((66)/(79)) \\ \\ x\approx56.7\text{\degree} \end{gathered}`

Hence, the answer is:

`x\approx56.7\text{\degree}`