Mathematics: what is the length of the portion bc of the cloth? a: 6 cos 32° b: 6 sin 32° c: cos32°/6 d: sin32°/6

do u have the answer?Step-by-step explanation:...

what is the length of the portion bc of the cloth?

cmg27

20.06.2020

B. $6\cdot\text{sin}(32^{\circ})$

Step-by-step explanation:

We have been given a diagram of a right triangle. We are asked to find the length of BC.

We can see that in triangle ABC, the side BC is opposite side to angle 32 degrees and side AC is hypotenuse of triangle.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(32^{\circ})=\frac{BC}{6}$

$6\cdot\text{sin}(32^{\circ})=\frac{BC}{6}\cdot 6$

$6\cdot\text{sin}(32^{\circ})=BC$

Therefore, the length of BC is $6\cdot\text{sin}(32^{\circ})$ and option B is the correct choice.

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