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Lesechka [4]
3 years ago
6

Solve the right angle trig. round to the nearest tenth.

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

x ≈ 58.9

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

<u>Geometry</u>

  • [Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing side length.

<u>Step 2: Identify Variables</u>

<em>POV from the angle measure</em>

Angle = 23°

Opposite Leg = 25

Adjacent Leg = <em>x</em>

<em />

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitution [tangent]:                    tan23° = 25/x
  2. Multiply <em>x</em> on both sides:                xtan23° = 25
  3. Isolate <em>x</em>:                                          x = 25/tan23°
  4. Evaluate:                                          x = 58.8963
  5. Round:                                             x ≈ 58.9
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