Posted by **Anonymous** on Wednesday, August 1, 2012 at 5:59pm.

Given triangle ABC with gamma = 61.0°, Beta = 29.0°, and b = 20.5, find the value of a.

A. 9.94

B. 11.4

C. 42.3

D. 37.0

- Trigonometry -
**MathMate**, Wednesday, August 1, 2012 at 6:28pm
Assuming angles α, β and γ are opposite to sides a, b and c respectively.

β=29°, γ=61°

=> α=180-(29+61)=90°

Since b and β are known, and both α and β are not obtuse, we can use the sine rule.

a/sin(α)=b/sin(β)

=>

a=b sin(α)/sin(β)

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