In a triangle A B C , if a = 3 ,   b = 4 and sin A = 3 4 then ∠ C B A = ?

In a triangle ABC, if a=3, b=4 and sinA=34 then ∠CBA=?
  1. 60∘
  2. 75∘
  3. 90∘
  4. 45∘

Solution

Here given that, In a triangle ABC, a=3, b=4 and sinA=34

Using Sine Rule, we know that sinAa=sinBb

⇒343=sinB4

⇒sinB=1

⇒B=90° (∵sin90°=1)

⇒∠CBA=90°

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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