Respuesta :

Hey again, you can use trigonometric ratios for this one. You are trying to find the side length opposite of angle G, when you have the adjacent side length value known. You can use TOA, or tan((opposite/adjacent)) . Tan(50) = x/10 

X=  11.92 cm

The length of EF if the measure of angle  G is 50° and FG is 10 cm is 11.92 cm.

What are the six trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

By trigonometric ratios for this one.

The length of EF if the measure of angle G is 50° and FG is 10 cm

Let x be the length of EF.

[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

Tan(50) = x/10

x =  11.92 cm

Learn more about trigonometric ;

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