find the value of x.\n\nx = \n(do not include the degree symbol in your answer. round to the nearest degree…
find the value of x.\n\nx = \n(do not include the degree symbol in your answer. round to the nearest degree as needed.)
Answer
Explanation:
Step1: Identify trig - function
We know that in a right - triangle, $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to angle $x$ is 3 and the hypotenuse is 5. So, $\sin x=\frac{3}{5}$.
Step2: Solve for $x$
We use the inverse - sine function, $x = \sin^{- 1}(\frac{3}{5})$. Using a calculator, $x=\sin^{-1}(0.6)\approx37$.
Answer:
37