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

Answer:

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 2

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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.

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