Question

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

Answer 1

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{a}{sinA}$ = $\frac{c}{sinC}$ , substitute values

$\frac{8}{sinA}$ = $\frac{16}{sin35}$ ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = $\frac{8sin35}{16}$ , thus

∠ A = $sin^{-1}$ ( $\frac{8sin35}{16}$ ) ≈ 16.67° ( to 2 dec. places )