Question

help and i will give a medal
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

what forula should i use sine or cosine

Answer 2

forula*

Answer 3

formula*

Answer 4

\[\frac{ a }{ \sin a } = \frac{ c }{ \sin c }\]
\[\sin a = \frac{ a \sin c }{ c } = \frac{ 8 \times \sin 35 }{ 16 } \approx 0.287\]
\[\sin^{-1} a = 16, 39\]

Answer 5

so the answer would be 16.67

Answer 6

Sine will be easier although no thing is restricting you from using the cosine

Answer 7

yea, approximately.

Answer 8

okay thank you there's your medal

Answer 9

No problem.