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)

## Answer This Question

## Related Questions

- Trigonometry - Given triangle ABC with a = 16, b = 14, and Beta = 54°, find the ...
- physics - Find Beta and Gamma for an electron that has a kinetic energy of 6.00...
- physics please help - Find Beta and Gamma for an electron that has a kinetic ...
- Physics: Formulas - the momnetum of a gamma photon is determined by the equation...
- Trigonometry - Three oil platforms, Alpha, Beta and Gamma are situated in the ...
- Bio - of the following, the best conclusion concerning the difference between ...
- Trigonometry - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8...
- Trigonometry - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8...
- trigonometry - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8...
- Trigonometry - Given triangle ABC with a = 16, b = 14, and Angle is = 54°, find ...

More Related Questions