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Andreas93 [3]
3 years ago
12

Here is the next one:)

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

O Sin (53) = 21/29

O Sin (37) = 20/29

Step-by-step explanation:

In a triangle, the sine is opposite over hypotenuse, the cosine is adjacent over hypotenuse, and the tangent is opposite over adjacent.

slega [8]3 years ago
4 0

Answer:

Options 1, 2 and 4 are correct

Step-by-step explanation:

We should determine few things;

Sine = \frac{opposite}{hypotenuse}

Cosine = \frac{Adjacent}{Hypotenuse}

Tangent = \frac{Opposite}{Adjacent}

The values of Opposite and Adjacent vary by the angle given, however Hypotenuse always remains the same, the length opposite to the right angle is hypotenuse.

Now we can say that;

Sin (53) = \frac{opposite}{hypotenuse} = \frac{21}{29}

Sin (37) =  \frac{opposite}{hypotenuse} =\frac{20}{29}

Tan (53) would be \frac{Opposite}{Adjacent} =\frac{21}{20}, not  \frac{20}{21}

Cos (37) = \frac{Adjacent}{Hypotenuse} = \frac{21}{29}

Hope this helps!

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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
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