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andrey2020 [161]
3 years ago
13

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°
Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

A

Step-by-step explanation:

using the Sine rule in ΔABC

\frac{a}{sinA} = \frac{c}{sinC}

substitute given values

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

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

sinA = \frac{8sin35}{16} = 0.28678...

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


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