Need these answered, and work shown please. Or at the very least solutions to solving them. I’ve included accompanying pictures for the problems. 17: Assume α is opposite side a, β is opposite side

Need these answered, and work shown please. Or at the very least solutions to solving them. I’ve included accompanying pictures for the problems.

17: Assume α is opposite side a, β is opposite side b, and γ is opposite side c. Determine whether there is no triangle, one triangle, or two triangles. Then solve each triangle, if possible. Round each answer to the nearest tenth. (If not possible, enter IMPOSSIBLE.)

b = 4.7,

c = 6.7,

γ = 70°

18: Points A and B are on opposite sides of a lake. Point C is 84 meters from A. The measure of angle BAC is determined to be 104°, and the measure of angle ACB is determined to be 58°. What is the distance from A to B, rounded to the nearest whole meter?

19: Assume α is opposite side a, β is opposite side b, and γ is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)

α = 118°, a = 22, b = 18

20: Find the area of the triangle. (Round your answer to two decimal places.)

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