Answer:
[tex]\boxed{\bf B. \: c = 4 \sqrt{3} }[/tex]
Step-by-step explanation:
Since a = 6, then, b = 3.47 ( opposite of 30°).
By applying the pythagoras theorem..
- [tex] \boxed{\bf {h}^{2} = {p}^{2} + {b}^{2}} [/tex]
- [tex]\bf {(c)}^{2} = {(a)}^{2} + {(b)}^{2} [/tex]
- [tex] \bf {c}^{2} = {(6)}^{2} + {(3.47)}^{2} [/tex]
- [tex] \bf {c}^{2} = 36 + 12[/tex]
- [tex]\bf {c}^{2} = \sqrt{48} [/tex]
- [tex]\bf c = 4 \sqrt{3} [/tex]
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