In triangle abc, measure angle a=35 degrees, measure angle b=65 degrees, and c =15. find b. round your answer to the nearest tenth

Given only one side and two angles, the law of sines is the appropriate choice. To use that, you need to know the angles opposite the side of interest and the given side.

∠C = 180° - ∠A - ∠B
∠C = 180° - 35° - 65° = 80°

Now, the law of sines tells you
  b/sin(B) = c/sin(C)
  b = c·sin(B)/sin(C) . . . . . multiply by sin(B)
  b = 15·sin(65°)/sin(80°)
  b ≈ 13.8

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Or you can use a triangle solver.

Sample Response: Although 6 and 3 are on opposite sides of sea level, or 0, they are not opposites because they are unequal distances from 0.

Step-by-step explanation:

3 is 3 units above 0 on a vertical number line.

–6 is 6 units below 0 on a vertical number line.

3 is not the opposite of –6.

Opposites are equal distances from 0.