Question

question solve for $x$. round to the nearest tenth of a degree, if necessary.

Explanation:

Step1: Use trigonometric ratio

We know that $\sin x=\frac{68}{80}$ in right - triangle $RST$.

Step2: Calculate the inverse - sine

$x = \sin^{- 1}(\frac{68}{80})$
$x=\sin^{-1}(0.85)$

Step3: Find the value of $x$

Using a calculator, $x\approx58.2^{\circ}$

Answer:

$x\approx58.2^{\circ}$