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Using the law of sines, solve for ‘x’

Using the law of sines, solve for ‘x’-example-1

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Answer:


x=9.91098

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

PreCalc

  • Law of Sines:
    (sin(A))/(a) =(sin(B))/(b) =(sin(C))/(c)

Explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

  1. Substitute:
    (sin(15))/(7.5) =(sin(20))/(x)
  2. Cross-multiply:
    xsin(15)=7.5sin(20)
  3. Isolate x:
    x=(7.5sin(20))/(sin(15))
  4. Evaluate:
    x=9.91098
User Brian Stanley
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