Answer:
22°
Step-by-step explanation:
sin(theta)=7/19
m(theta)= arcsin(7/19)=22°
The measure of angle Θ to the nearest degree is 22°.
Given: Right angle triangle.
According to the given diagram.
In reference to angle Θ.
Opposite = 7
Hypotenuse = 19
We know,
⇒ sin Θ = Opposite / Hypotenuse
⇒ sin Θ = 7/19
⇒ Θ = sin⁻¹(7/19)
⇒ Θ = 21.6°
⇒ Θ ≈ 22°
Therefore, the measure of angle Θ to the nearest degree is 22°.
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