Question

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


A)32.6°
B)36.4°
C)37.8°
D)38.7°

Answer 1

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.