Respuesta :

Answer:

a) 42.8 degrees.

Step-by-step explanation:

sin-|(-0.27 +0.95) means the angle whose sine is (-0.27+0.95)

= sin-1(0.68)

Using a calculator the answer is 42.8 degrees.

[tex]sin^{-1}(-0.27 +0.95)=42.8^{\circ}[/tex]

The correct answer is an option (a)

What is sine of angle?

"In right triangle, for angle θ, sin(θ) = opposite side of θ/ hypotenuse."

What is sine inverse ?

"It is used to find the angle whose sine value is equal to the ratio of its opposite side and hypotenuse."

For given question,

We need to find the the sine inverse of (-0.27 + 0.95)

[tex]\Rightarrow sin^{-1}(-0.27 +0.95)\\=sin^{-1}(0.68)\\=42.8^{\circ}[/tex]

Therefore, [tex]sin^{-1}(-0.27 +0.95)=42.8^{\circ}[/tex]

The correct answer is an option (a)

Learn more about the sine inverse here:

https://brainly.com/question/6826226

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