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Evgen [1.6K]
3 years ago
8

Find the angle represented by x (rounded to the nearest tenth of a degree).

Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

Option (D)

Step-by-step explanation:

By applying sine rule in the triangle shown,

Since, \text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}

By this rule,

\text{sinx}=\frac{\text{5000}}{8000}

x = \text{sin}^{-1}(\frac{5}{8})

x = \text{sin}^{-1}(0.625)

x = 38.682°

  ≈ 38.7°

Therefore, Option (D) is the correct option.

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