SabrineM304553 SabrineM304553
  • 30-10-2022
  • Mathematics
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LBN is a 30°-60°-90° triangle and LB = 18 in. Find NB.

LBN is a 306090 triangle and LB 18 in Find NB class=

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VedanshiP497498 VedanshiP497498
  • 30-10-2022

In order to calculate the length of NB, let's use the cosine relation of the angle 30°.

The cosine relation is the length of the adjacent side to the angle over the length of the hypotenuse.

So we have:

[tex]\begin{gathered} \cos (30\degree)=\frac{NB}{BL} \\ \frac{\sqrt[]{3}}{2}=\frac{NB}{18} \\ 2\cdot NB=18\sqrt[]{3} \\ NB=9\sqrt[]{3} \end{gathered}[/tex]

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