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8. $sin38 = \frac{x}{16}$ solve for x. round to the nearest tenth. 0.1 …

Question

  1. $sin38 = \frac{x}{16}$

solve for x. round to the nearest tenth.
0.1
9.9
0.038
9.8

Explanation:

Step1: Isolate x via multiplication

Multiply both sides by 16:
$$x = 16 \times \sin(38^\circ)$$

Step2: Calculate $\sin(38^\circ)$ and multiply

Use calculator for $\sin(38^\circ) \approx 0.6157$:
$$x \approx 16 \times 0.6157 = 9.8512$$

Step3: Round to nearest tenth

Round 9.8512 to one decimal place:
$$x \approx 9.9$$

Answer:

9.9