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Alja [10]
3 years ago
9

Which proportion could be used to find the length of side b?

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0

Answer: A for Apex.


Step-by-step explanation:


yan [13]3 years ago
3 0

Answer:

A) \frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}

Step-by-step explanation:

In order to use the Law of Sines, we must have a known angle and the known side opposite it.

The only side measure we have is that of AB, which is 6.2.  The angle opposite this is ∠C, which we do not have the measurement of.

We do have the measurement of ∠A and ∠B; we can use these to find the measure of ∠C.  We know that the sum of the measures of the angles in a triangle is 180°; this means

m∠C = 180-(72+85) = 180-157 = 23°

This makes the first ratio in the Law of Sines

\frac{\sin{23}}{6.2}

We are trying to find the measure of b.  This means we use the angle opposite b, ∠B; m∠B = 85°.  This gives us the ratio

\frac{\sin{85}}{b}

Together, this gives us the proportion

\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}

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