Question

Which equation can be used to find the measure of angle GFE?

cos−1 (14.5/ 11.9) = θ
cos−1 ( 11.9/ 14.5) = θ
sin−1 ( 11.9/ 14.5) = θ
sin−1 ( 14.5/ 11.9) = θ

Answer 1

B

Explanation:

Answer 2

`\theta=\cos^(-1)((11.9)/(14.5)`)

Explanation:

From the diagram,
`<\:GEF=\theta`.

The side of the triangle with length 11.9 is adjacent to the given angle.

We also know the hypotenuse to be 14.5 units.

We therefore use the cosine ratio to get;

`\cos(\theta)=(Adjacent)/(Hypotenuse)`

`\cos(\theta)=(11.9)/(14.5)`

We take the inverse cosine of both sides to get;

`\theta=\cos^(-1)((11.9)/(14.5)`)