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?

Question

anonymous · Answer

the choices are
a. 16.67°

b.17.50°

c.26.57°

d.35.53°

anonymous · Answer

never mind i couldnt spend anymore time on it so i had to guess

anonymous · Answer

@joejoe213 Assuming that a is the length of the side opposite the angle of measure A and that c is the length of the side opposite the angle of measure C, you can use the law of sines to get that 

 sin(A)/a = sin(C)/c, so sin(A) = asin(C)/c = sin(35deg)/2. So A = arcsin(sin(35deg)/2) = 16.67.

anonymous · Answer

kk hi

anonymous · Answer

okay im about to leave school thanks anyway♥

anonymous · Answer

have a good thanksgiving yall!