Respuesta :

Space

Answer:

x = 9.23919

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Define

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

Step 2: Identify Variables

POV from the angle measure

Angle = 57°

Opposite = x

Adjacent = 6

Step 3: Solve for x

  1. Substitute:                    tan57° = x/6
  2. Isolate x:                       6tan57° = x
  3. Evaluate:                       9.23919 = x
  4. Rewrite:                        x = 9.23919
sqdancefan

9514 1404 393

Answer:

  • x ≈ 9.24
  • H ≈ 11.02

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships.

  Tan = Opposite/Adjacent

  tan(57°) = x/6

  x = 6·tan(57°) ≈ 9.24

__

The complete solution of the triangle will also find a value for H.

  Cos = Adjacent/Hypotenuse

  cos(57°) = 6/H

  H = 6/cos(57°) ≈ 11.02

_____

Comment on the figure

We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.

Otras preguntas