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Illustrate a right triangle FGE. Label the three points, F, G and E. Angle E is the right angle. The hypotenuse is 15.2, the side opposite angle FGE is 9. To determine the measure of angle FGE, use Pythagorean Theorem:

sin (x) = opposite / hypotenuse

sin (x) = 9 / 15.2

therefore, angle FGE = 36.3

Angle FGE in a given right angle triangle when the hypotenuse is 15.2m and perpendicular is 9m so, by using the trigonometric function the value of x is [tex]36.30^\circ[/tex].

Given :

  • Right angle triangle FEG.
  • FG = 15.2m
  • FE = 9m

To determine angle FGE in a given right angle triangle, the hypotenuse is 15.2m and perpendicular is 9m so, by using the trigonometric function the value of x will be:

[tex]\rm sin(x) = \dfrac{9}{15.2}[/tex]

[tex]x = 36.30^\circ[/tex]

Therefore, the correct option will be b).

For more information, refer to the link given below:

https://brainly.com/question/21286835

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