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Pavel [41]
3 years ago
6

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

Mathematics
1 answer:
Orlov [11]3 years ago
7 0

Answer:

x ≈ 16.5

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] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

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 = 38°

Adjacent Leg = <em>x</em>

Hypotenuse = 21

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

  1. Substitute [cosine]:                    cos38° = x/21
  2. Isolate <em>x</em>:                                     21cos38° = x
  3. Rewrite:                                      x = 21cos38°
  4. Evaluate:                                     x = 16.5482
  5. Round:                                        x ≈ 16.5
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