Respuesta :

The value of x to the nearest hundredth is 4.14

Side-angle-side theorem

The given diagram is a right triangle with the following parameters

Opposite side to 16 degrees = x

Hypotenuse = 15

Using the expression below

sin theta = x/15

sin16 = x/15

x = 15sin16

x = 4.135

Hence the value of x to the nearest hundredth is 4.14

Learn more on triangle here; https://brainly.com/question/2217700

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