Respuesta :

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the given right triangle,

Hypotenuse = 15

Perpendicular = 12.5

Now,

[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]

[tex]\sin x^\circ=0.83333[/tex]

[tex]x^\circ=\sin^{-1}0.83333[/tex]

[tex]x^\circ =56.442345^\circ[/tex]

[tex]x\approx 56[/tex]

Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.

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