Michigan State University - Diagnostic Exam

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6.9

  •   For the triangle Δ ABC , ∠ A = 120 ∘, ∠ B = 20∘ , and the length of side AB is 10. The length b of the side opposite ∠B satisfies which of the following?

    a) b < 5 b) b = 5 c) 5 < b < 6
       
    d) 6 < b < 7 e) b > 7

Solution:

∠C=40∘ . So by the Law of Sines

---b---= --10--- ⇒ b ≈ 5.3209 sin 20∘ sin 40∘

Diagnostic:

If you miss this question please review Law of Sines.

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July 15, 2008