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3 years ago

A=63°

Mathematics

2 answers:

bekas [8.4K]3 years ago

6 0

Answer:

B. 7.35 inches

Step-by-step explanation:

In the triangle:

A=63°
c = 7.75 inch
B = 47°

Now we know that:

$\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ$

Using the Law of Sines

$\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)$

Aleksandr-060686 [28]3 years ago

4 0

Answer:

B. 7.35 inches

Step-by-step explanation:

just use the law of sines

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