Question

Which equation could be used to find m∠E in △EFG? m∠E = cos–1(StartFraction 3 Over 4.6 EndFraction) m∠E = cos–1(StartFraction 4.6 Over 3 EndFraction) m∠E = tan–1(StartFraction 3 Over 4.6 EndFraction) m∠E = tan–1(StartFraction 4.6 Over 3 EndFraction)

Answer 1

Answer:

$m\angle E=tan^{-1}(\frac{3}{4.6})$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the right triangle EFG

$tan(E)=\frac{GF}{EF}$ ----> by TOA (opposite side divided by the adjacent side)

substitute

$tan(E)=\frac{3}{4.6}$

$m\angle E=tan^{-1}(\frac{3}{4.6})$

Answer 2

The measure of angle E can be found by the expression $tan^{-1}(\dfrac{3}{4.6})$. Option 3 is correct.

See the attached figure of right triangle EFG.

In the figure, side EF is 4.6 units, and side FG is 3 units.

It is required to find the value of measure of angle E.

Use the tangent trigonometric ratio to solve the value of angle E as,

$tanE=\dfrac{3}{4.6}\\E=tan^{-1}(\dfrac{3}{4.6})$

Therefore, the measure of angle E can be found by the expression $tan^{-1}(\dfrac{3}{4.6})$.

For more details, refer to the link:

https://brainly.com/question/22174817