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question video examples solve for ( x ). round to the nearest tenth of …

Question

question
video examples
solve for ( x ). round to the nearest tenth of
a degree, if necessary.
answer
attempt 1 out of 3
( x=quad ) submit answer
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Explanation:

Step1: Use the sine function

In a right - triangle, $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the side opposite to angle $x$ is $68$ and the hypotenuse is $80$. So, $\sin x=\frac{68}{80}$.

Step2: Calculate the value of $x$

First, simplify $\frac{68}{80}=0.85$. Then, $x = \sin^{-1}(0.85)$. Using a calculator, $x\approx58.3^{\circ}$.

Answer:

$58.3$