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

Question

levacccp [35]

3 years ago

15

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°

Biology

2 answers:

GuDViN [60] · Answer 1 · 2022-03-08T04:14:05+03:00

GuDViN [60]3 years ago

8 0

Answer:

a 16.67

Explanation:

sweet [91] · Answer 2 · 2022-03-08T02:53:31+03:00

sweet [91]3 years ago

6 0

From sin theorem we know that:

<span> sin(A)/a = sin(C)/c, so sin(A) = asin(C)/c = sin(35deg)/2. So A = arcsin(sin(35deg)/2) = 16.67.
</span>
The answer to your question is A. I hope that this is the answer that you were looking for and it has helped you.