Find the value of x in the triangle shown below.
56°
4
4.5
4

Step-by-step explanation:
[tex] \frac{ \sin(56) }{4} = \frac{ \sin(x) }{4.5} \\ \sin(x ) = \frac{4.5 \times \sin(56) }{4} = \frac{3.73}{4} \\ \sin(x) = 0.9326 \\ x = 68.84[/tex]
Hence, the value of x is 68.84 degrees.
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.
we know sine rule,
[tex]\frac{sin(56)}{4} = \frac{sin(x)}{4.5}[/tex]
sin(x) = [tex]\frac{(4.5).sin(56)}{4}[/tex] = [tex]\frac{3.73}{4}[/tex]
sin(x) = 0.9326
x = 68.84
to learn more about angles: https://brainly.com/question/25716982
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