GEOMETRY/INTRO TO TRIG QUESTION!

Please show your work and explain.

The answer to your question is AB = 6.9

Step-by-step explanation:

Data

∠A = 70°

∠C = 62°

BC = 7.3

AB = x

Process

1.- To solve this problem use the law of sines

                 AB / sin C = BC / sin A

Substitution

                 AB / sin 62 =  7.3 /  sin 70

Solve for AB

                AB = 7.3(sin 62) / sin 70

                AB = 7.3(0.883) / 0.940

                AB = 7.3 (0.939)

Result

                 AB = 6.8                

Step-by-step explanation:

Since we are given 2 angles and 1 side, to determine AB, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

AB/Sin62 = 7.3/Sin70

Cross multiplying, it becomes

AB × Sin 70 = 7.3 × Sin 62

AB × 0.9397 = 14 × 0.8829

0.9397AB = 12.3606

Dividing the left hand side and the right hand side of the equation by 0.9397, it becomes

0.9397AB/0.9397 = 12.3606/0.9397

AB = 13.2 to the nearest tenth

the second option

step-by-step explanation: