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1 vote
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°

Find the angle represented by x (rounded to the nearest tenth of a degree). A)32.6° B-example-1
User Trufa
by
7.3k points

1 Answer

3 votes

Answer:

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.

User Xuan Hu
by
6.6k points