Question

In ΔABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of ∠C is 35°, what is the measure of ∠A to two decimal places?

a. 16.67°

b.17.50°

c.26.57°

d.35.53°

Answer 1

a 16.67

Step-by-step explanation:

Answer 2

From sin theorem we know that:

sin(A)/a = sin(C)/c, so sin(A) = asin(C)/c = sin(35deg)/2. So A = arcsin(sin(35deg)/2) = 16.67.

The answer to your question is A. I hope that this is the answer that you were looking for and it has helped you.