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

Question

asked Nov 15, 2020 201k views

2 Answers

Hamdullah Shah · Answer 1 · 2020-11-19T02:03:02+0000

Answer:

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

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;

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