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Select the correct 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°

Respuesta :

Answer:

A

Step-by-step explanation:

using the Sine rule in ΔABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]

substitute given values

[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )

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

sinA = [tex]\frac{8sin35}{16}[/tex] = 0.28678...

⇒ A = [tex]sin^{-1}[/tex](0.28678..) = 16.67° ( to 2 dec. places )


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