Question

Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1​

Answer 1

9514 1404 393

Answer:

1. 33.0 m
2. 26.1 mi
3. 28.0 mi
4. 33.0 mi

Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

Find the missing angle. Find the side from ...

  c = a·sin(C)/sin(A)

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1. angle A = 180°-89°-58° = 33°

  c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

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2. angle C = 180°-13°-17° = 150°

  b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

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3. angle A = 180°-61°-89° = 30°

  c = (16 mi)sin(61°)/sin(30°) = 28.0 mi

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4. angle A = 180°-39°-127° = 14°

  c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi