Question

For questions 5-6, solve for the remaining angles

Answer 1

Angle ∠A = 33.544° = 33°32'37" = 0.58545 rad

Angle ∠B = 114.998° = 114°59'54" = 2.0071 rad

Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad

Explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates ∠A, ∠B, ∠C based on given a, b and c.

`\angle B=\arccos((b^2+c^2-a^2)/(2bc) )`

`=2.0071 \text{rad}= 144.998^o = 114^o59'54''`

`\angle A = \arccos((a^2+c^2-b^2)/(2ac) )`

`=0.58545\text{rad}=33.544^o=33^o32'37''`

`\angle C=\arccos((a^2+b^2-c^2)/(2ab) )`

`=0.54905 \text{rad}=31.458^o=31^o27'29''`