Question

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

Answer 1

Hello,

a=8, c=16, C=35°

sin A/a=SIN C/c (law of sinus)
==> sin A=a/c* sin C=8*16*sin35°=0,286788....
==>A=16,665768...°≈16.66°

Answer 2

The approximate measure of angle is 16.67°.

Explanation:

Given,

Triangle ABC in which,

Side a = 8 cm, ( side BC )

Side c = 16 cm ( side AB ),

Also, m∠C = 35°,

By the law of sine,

`(sin A)/(sin C)=(BC)/(AB)`

By substituting the values,

`(sin A)/(sin 35^(\circ))=(8)/(16)`

`sin A = (8* sin 35^(\circ))/(16)=0.293892626146`

`\implies m\angle A=16.665768674\approx 16.67^(\circ)`