Respuesta :

Answer:

[tex]x = 9.7[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Using law of sine, we have:

[tex]\frac{a}{sin A} = \frac{b}{Sin B}[/tex]

So, we have:

[tex]\frac{x}{sin 32} = \frac{18}{Sin 100}[/tex]

Make x the subject

[tex]x = \frac{18 * sin 32}{Sin 100}[/tex]

[tex]x = \frac{18 * 0.5299}{0.9848}[/tex]

[tex]x = 9.685[/tex]

[tex]x = 9.7[/tex] -- approximated

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