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

Option (D)

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)((5)/(8))`

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

x = 38.682°

≈ 38.7°

Therefore, Option (D) is the correct option.