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zavuch27 [327]
3 years ago
6

Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z i

s y. Use the law of sines to find the value of y. Round to the nearest tenth. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 1.4 units 1.6 units 2.5 units 2.6 units
Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0

Answer:

2.5

Step-by-step explanation:

VMariaS [17]3 years ago
5 0

Answer:

B trust

Step-by-step explanation:

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Answer:

A. 34°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent
  • Inverse Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>

Opposite leg AC = 24

Adjacent leg CB = 35

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Tangent]:                                                                    \displaystyle tanx^\circ = \frac{24}{35}
  2. Inverse Trig [Tangent]:                                                                                     \displaystyle x^\circ = tan^{-1}(\frac{24}{35})
  3. Evaluate:                                                                                                           \displaystyle x = 34.439^\circ
  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
4 0
3 years ago
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