Question

A=63°

Answer 1

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

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

Answer 2

Answer:

B.  7.35 inches

Step-by-step explanation:

just use the law of sines