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solve for x. round to the nearest tenth, if necessary. answer attempt 1…

Question

solve for x. round to the nearest tenth, if necessary.
answer
attempt 1 out of 2
x =
submit a

Explanation:

Step1: Identify trigonometric ratio

We use sine for angle $72^\circ$: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
$\sin(72^\circ)=\frac{x}{94}$

Step2: Isolate $x$

Rearrange to solve for $x$:
$x=94\times\sin(72^\circ)$

Step3: Calculate value

Compute $\sin(72^\circ)\approx0.9511$, then:
$x\approx94\times0.9511$
$x\approx89.4$

Answer:

$89.4$